What percent is 2 of 6

It's very common when learning about fractions to want to know how convert a fraction like 2/6 into a percentage. In this step-by-step guide, we'll show you how to turn any fraction into a percentage really easily. Let's take a look!

Want to quickly learn or show students how to convert 2/6 to a percentage? Play this very quick and fun video now!

Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial.

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 2/6 is 6, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 6 = 16.666666666667

Once we have that, we can multiple both the numerator and denominator by this multiple:

2 x 16.666666666667 / 6 x 16.666666666667 = 33.333333333333 / 100

Now we can see that our fraction is 33.333333333333/100, which means that 2/6 as a percentage is 33.3333%.

We can also work this out in a simpler way by first converting the fraction 2/6 to a decimal. To do that, we simply divide the numerator by the denominator:

2/6 = 0.33333333333333

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.33333333333333 x 100 = 33.3333%

And there you have it! Two different ways to convert 2/6 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.

I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).

If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.

Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!

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  • What is 2/7 as a percentage?

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 2 cookies from those, and you ended up eating 6 of them! What percent of the cookies have you eaten?

Answer: 33.333 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 2 on top and 6 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

2/6 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

2/6 × 100/100 = 33.333/100

33.333 = Percent

And that means you ended up eating 33.333 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 6 = Y% / 2

Step 2: Drop the percentage marks to simplify your calculations: 100 / 6 = Y / 2

Step 3: Multiply both sides by 2 to isolate Y on the right side of the equation: 2 ( 100 / 6 ) = Y

Step 4: Computing the left side, we get: 33.333 = Y

This leaves us with our final answer: 2 is 33.333 percent of 6


Page 2

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 20 cookies from those, and you ended up eating 64 of them! What percent of the cookies have you eaten?

Answer: 31.25 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 20 on top and 64 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

20/64 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

20/64 × 100/100 = 31.25/100

31.25 = Percent

And that means you ended up eating 31.25 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 64 = Y% / 20

Step 2: Drop the percentage marks to simplify your calculations: 100 / 64 = Y / 20

Step 3: Multiply both sides by 20 to isolate Y on the right side of the equation: 20 ( 100 / 64 ) = Y

Step 4: Computing the left side, we get: 31.25 = Y

This leaves us with our final answer: 20 is 31.25 percent of 64


Page 3

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 2 cookies from those, and you ended up eating 36 of them! What percent of the cookies have you eaten?

Answer: 5.556 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 2 on top and 36 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

2/36 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

2/36 × 100/100 = 5.556/100

5.556 = Percent

And that means you ended up eating 5.556 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 36 = Y% / 2

Step 2: Drop the percentage marks to simplify your calculations: 100 / 36 = Y / 2

Step 3: Multiply both sides by 2 to isolate Y on the right side of the equation: 2 ( 100 / 36 ) = Y

Step 4: Computing the left side, we get: 5.556 = Y

This leaves us with our final answer: 2 is 5.556 percent of 36


Page 4

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 26 cookies from those, and you ended up eating 65 of them! What percent of the cookies have you eaten?

Answer: 40 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 26 on top and 65 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

26/65 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

26/65 × 100/100 = 40/100

40 = Percent

And that means you ended up eating 40 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 65 = Y% / 26

Step 2: Drop the percentage marks to simplify your calculations: 100 / 65 = Y / 26

Step 3: Multiply both sides by 26 to isolate Y on the right side of the equation: 26 ( 100 / 65 ) = Y

Step 4: Computing the left side, we get: 40 = Y

This leaves us with our final answer: 26 is 40 percent of 65


Page 5

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 32 cookies from those, and you ended up eating 96 of them! What percent of the cookies have you eaten?

Answer: 33.333 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 32 on top and 96 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

32/96 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

32/96 × 100/100 = 33.333/100

33.333 = Percent

And that means you ended up eating 33.333 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 96 = Y% / 32

Step 2: Drop the percentage marks to simplify your calculations: 100 / 96 = Y / 32

Step 3: Multiply both sides by 32 to isolate Y on the right side of the equation: 32 ( 100 / 96 ) = Y

Step 4: Computing the left side, we get: 33.333 = Y

This leaves us with our final answer: 32 is 33.333 percent of 96


Page 6

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 12 cookies from those, and you ended up eating 29 of them! What percent of the cookies have you eaten?

Answer: 41.379 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 12 on top and 29 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

12/29 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

12/29 × 100/100 = 41.379/100

41.379 = Percent

And that means you ended up eating 41.379 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 29 = Y% / 12

Step 2: Drop the percentage marks to simplify your calculations: 100 / 29 = Y / 12

Step 3: Multiply both sides by 12 to isolate Y on the right side of the equation: 12 ( 100 / 29 ) = Y

Step 4: Computing the left side, we get: 41.379 = Y

This leaves us with our final answer: 12 is 41.379 percent of 29


Page 7

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 2 cookies from those, and you ended up eating 27 of them! What percent of the cookies have you eaten?

Answer: 7.407 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 2 on top and 27 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

2/27 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

2/27 × 100/100 = 7.407/100

7.407 = Percent

And that means you ended up eating 7.407 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 27 = Y% / 2

Step 2: Drop the percentage marks to simplify your calculations: 100 / 27 = Y / 2

Step 3: Multiply both sides by 2 to isolate Y on the right side of the equation: 2 ( 100 / 27 ) = Y

Step 4: Computing the left side, we get: 7.407 = Y

This leaves us with our final answer: 2 is 7.407 percent of 27


Page 8

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 2 cookies from those, and you ended up eating 16 of them! What percent of the cookies have you eaten?

Answer: 12.5 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 2 on top and 16 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

2/16 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

2/16 × 100/100 = 12.5/100

12.5 = Percent

And that means you ended up eating 12.5 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 16 = Y% / 2

Step 2: Drop the percentage marks to simplify your calculations: 100 / 16 = Y / 2

Step 3: Multiply both sides by 2 to isolate Y on the right side of the equation: 2 ( 100 / 16 ) = Y

Step 4: Computing the left side, we get: 12.5 = Y

This leaves us with our final answer: 2 is 12.5 percent of 16


Page 9

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 3 cookies from those, and you ended up eating 36 of them! What percent of the cookies have you eaten?

Answer: 8.333 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 3 on top and 36 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

3/36 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

3/36 × 100/100 = 8.333/100

8.333 = Percent

And that means you ended up eating 8.333 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 36 = Y% / 3

Step 2: Drop the percentage marks to simplify your calculations: 100 / 36 = Y / 3

Step 3: Multiply both sides by 3 to isolate Y on the right side of the equation: 3 ( 100 / 36 ) = Y

Step 4: Computing the left side, we get: 8.333 = Y

This leaves us with our final answer: 3 is 8.333 percent of 36


Page 10

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 36 cookies from those, and you ended up eating 30 of them! What percent of the cookies have you eaten?

Answer: 120 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 36 on top and 30 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

36/30 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

36/30 × 100/100 = 120/100

120 = Percent

And that means you ended up eating 120 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 30 = Y% / 36

Step 2: Drop the percentage marks to simplify your calculations: 100 / 30 = Y / 36

Step 3: Multiply both sides by 36 to isolate Y on the right side of the equation: 36 ( 100 / 30 ) = Y

Step 4: Computing the left side, we get: 120 = Y

This leaves us with our final answer: 36 is 120 percent of 30


Page 11

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 30 cookies from those, and you ended up eating 50 of them! What percent of the cookies have you eaten?

Answer: 60 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 30 on top and 50 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

30/50 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

30/50 × 100/100 = 60/100

60 = Percent

And that means you ended up eating 60 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 50 = Y% / 30

Step 2: Drop the percentage marks to simplify your calculations: 100 / 50 = Y / 30

Step 3: Multiply both sides by 30 to isolate Y on the right side of the equation: 30 ( 100 / 50 ) = Y

Step 4: Computing the left side, we get: 60 = Y

This leaves us with our final answer: 30 is 60 percent of 50


Page 12

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 18 cookies from those, and you ended up eating 50 of them! What percent of the cookies have you eaten?

Answer: 36 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 18 on top and 50 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

18/50 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

18/50 × 100/100 = 36/100

36 = Percent

And that means you ended up eating 36 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 50 = Y% / 18

Step 2: Drop the percentage marks to simplify your calculations: 100 / 50 = Y / 18

Step 3: Multiply both sides by 18 to isolate Y on the right side of the equation: 18 ( 100 / 50 ) = Y

Step 4: Computing the left side, we get: 36 = Y

This leaves us with our final answer: 18 is 36 percent of 50


Page 13

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 51 cookies from those, and you ended up eating 850 of them! What percent of the cookies have you eaten?

Answer: 6 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 51 on top and 850 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

51/850 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

51/850 × 100/100 = 6/100

6 = Percent

And that means you ended up eating 6 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 850 = Y% / 51

Step 2: Drop the percentage marks to simplify your calculations: 100 / 850 = Y / 51

Step 3: Multiply both sides by 51 to isolate Y on the right side of the equation: 51 ( 100 / 850 ) = Y

Step 4: Computing the left side, we get: 6 = Y

This leaves us with our final answer: 51 is 6 percent of 850


Page 14

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 24 cookies from those, and you ended up eating 80 of them! What percent of the cookies have you eaten?

Answer: 30 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 24 on top and 80 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

24/80 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

24/80 × 100/100 = 30/100

30 = Percent

And that means you ended up eating 30 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 80 = Y% / 24

Step 2: Drop the percentage marks to simplify your calculations: 100 / 80 = Y / 24

Step 3: Multiply both sides by 24 to isolate Y on the right side of the equation: 24 ( 100 / 80 ) = Y

Step 4: Computing the left side, we get: 30 = Y

This leaves us with our final answer: 24 is 30 percent of 80


Page 15

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 14 cookies from those, and you ended up eating 80 of them! What percent of the cookies have you eaten?

Answer: 17.5 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 14 on top and 80 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

14/80 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

14/80 × 100/100 = 17.5/100

17.5 = Percent

And that means you ended up eating 17.5 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 80 = Y% / 14

Step 2: Drop the percentage marks to simplify your calculations: 100 / 80 = Y / 14

Step 3: Multiply both sides by 14 to isolate Y on the right side of the equation: 14 ( 100 / 80 ) = Y

Step 4: Computing the left side, we get: 17.5 = Y

This leaves us with our final answer: 14 is 17.5 percent of 80


Page 16

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 16 cookies from those, and you ended up eating 90 of them! What percent of the cookies have you eaten?

Answer: 17.778 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 16 on top and 90 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

16/90 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

16/90 × 100/100 = 17.778/100

17.778 = Percent

And that means you ended up eating 17.778 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 90 = Y% / 16

Step 2: Drop the percentage marks to simplify your calculations: 100 / 90 = Y / 16

Step 3: Multiply both sides by 16 to isolate Y on the right side of the equation: 16 ( 100 / 90 ) = Y

Step 4: Computing the left side, we get: 17.778 = Y

This leaves us with our final answer: 16 is 17.778 percent of 90


Page 17

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 18 cookies from those, and you ended up eating 90 of them! What percent of the cookies have you eaten?

Answer: 20 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 18 on top and 90 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

18/90 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

18/90 × 100/100 = 20/100

20 = Percent

And that means you ended up eating 20 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 90 = Y% / 18

Step 2: Drop the percentage marks to simplify your calculations: 100 / 90 = Y / 18

Step 3: Multiply both sides by 18 to isolate Y on the right side of the equation: 18 ( 100 / 90 ) = Y

Step 4: Computing the left side, we get: 20 = Y

This leaves us with our final answer: 18 is 20 percent of 90


Page 18

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 12 cookies from those, and you ended up eating 240 of them! What percent of the cookies have you eaten?

Answer: 5 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 12 on top and 240 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

12/240 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

12/240 × 100/100 = 5/100

5 = Percent

And that means you ended up eating 5 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 240 = Y% / 12

Step 2: Drop the percentage marks to simplify your calculations: 100 / 240 = Y / 12

Step 3: Multiply both sides by 12 to isolate Y on the right side of the equation: 12 ( 100 / 240 ) = Y

Step 4: Computing the left side, we get: 5 = Y

This leaves us with our final answer: 12 is 5 percent of 240


Page 19

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 5 cookies from those, and you ended up eating 24 of them! What percent of the cookies have you eaten?

Answer: 20.833 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 5 on top and 24 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

5/24 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

5/24 × 100/100 = 20.833/100

20.833 = Percent

And that means you ended up eating 20.833 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 24 = Y% / 5

Step 2: Drop the percentage marks to simplify your calculations: 100 / 24 = Y / 5

Step 3: Multiply both sides by 5 to isolate Y on the right side of the equation: 5 ( 100 / 24 ) = Y

Step 4: Computing the left side, we get: 20.833 = Y

This leaves us with our final answer: 5 is 20.833 percent of 24


Page 20

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 75 cookies from those, and you ended up eating 25 of them! What percent of the cookies have you eaten?

Answer: 300 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 75 on top and 25 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

75/25 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

75/25 × 100/100 = 300/100

300 = Percent

And that means you ended up eating 300 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 25 = Y% / 75

Step 2: Drop the percentage marks to simplify your calculations: 100 / 25 = Y / 75

Step 3: Multiply both sides by 75 to isolate Y on the right side of the equation: 75 ( 100 / 25 ) = Y

Step 4: Computing the left side, we get: 300 = Y

This leaves us with our final answer: 75 is 300 percent of 25


Page 21

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 85 cookies from those, and you ended up eating 200 of them! What percent of the cookies have you eaten?

Answer: 42.5 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 85 on top and 200 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

85/200 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

85/200 × 100/100 = 42.5/100

42.5 = Percent

And that means you ended up eating 42.5 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 200 = Y% / 85

Step 2: Drop the percentage marks to simplify your calculations: 100 / 200 = Y / 85

Step 3: Multiply both sides by 85 to isolate Y on the right side of the equation: 85 ( 100 / 200 ) = Y

Step 4: Computing the left side, we get: 42.5 = Y

This leaves us with our final answer: 85 is 42.5 percent of 200


Page 22

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 5 cookies from those, and you ended up eating 12 of them! What percent of the cookies have you eaten?

Answer: 41.667 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 5 on top and 12 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

5/12 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

5/12 × 100/100 = 41.667/100

41.667 = Percent

And that means you ended up eating 41.667 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 12 = Y% / 5

Step 2: Drop the percentage marks to simplify your calculations: 100 / 12 = Y / 5

Step 3: Multiply both sides by 5 to isolate Y on the right side of the equation: 5 ( 100 / 12 ) = Y

Step 4: Computing the left side, we get: 41.667 = Y

This leaves us with our final answer: 5 is 41.667 percent of 12


Page 23

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 56 cookies from those, and you ended up eating 125 of them! What percent of the cookies have you eaten?

Answer: 44.8 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 56 on top and 125 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

56/125 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

56/125 × 100/100 = 44.8/100

44.8 = Percent

And that means you ended up eating 44.8 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 125 = Y% / 56

Step 2: Drop the percentage marks to simplify your calculations: 100 / 125 = Y / 56

Step 3: Multiply both sides by 56 to isolate Y on the right side of the equation: 56 ( 100 / 125 ) = Y

Step 4: Computing the left side, we get: 44.8 = Y

This leaves us with our final answer: 56 is 44.8 percent of 125


Page 24

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 62 cookies from those, and you ended up eating 250 of them! What percent of the cookies have you eaten?

Answer: 24.8 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 62 on top and 250 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

62/250 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

62/250 × 100/100 = 24.8/100

24.8 = Percent

And that means you ended up eating 24.8 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 250 = Y% / 62

Step 2: Drop the percentage marks to simplify your calculations: 100 / 250 = Y / 62

Step 3: Multiply both sides by 62 to isolate Y on the right side of the equation: 62 ( 100 / 250 ) = Y

Step 4: Computing the left side, we get: 24.8 = Y

This leaves us with our final answer: 62 is 24.8 percent of 250


Page 25

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 2 cookies from those, and you ended up eating 28 of them! What percent of the cookies have you eaten?

Answer: 7.143 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 2 on top and 28 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

2/28 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

2/28 × 100/100 = 7.143/100

7.143 = Percent

And that means you ended up eating 7.143 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 28 = Y% / 2

Step 2: Drop the percentage marks to simplify your calculations: 100 / 28 = Y / 2

Step 3: Multiply both sides by 2 to isolate Y on the right side of the equation: 2 ( 100 / 28 ) = Y

Step 4: Computing the left side, we get: 7.143 = Y

This leaves us with our final answer: 2 is 7.143 percent of 28


Page 26

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 2 cookies from those, and you ended up eating 24 of them! What percent of the cookies have you eaten?

Answer: 8.333 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 2 on top and 24 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

2/24 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

2/24 × 100/100 = 8.333/100

8.333 = Percent

And that means you ended up eating 8.333 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 24 = Y% / 2

Step 2: Drop the percentage marks to simplify your calculations: 100 / 24 = Y / 2

Step 3: Multiply both sides by 2 to isolate Y on the right side of the equation: 2 ( 100 / 24 ) = Y

Step 4: Computing the left side, we get: 8.333 = Y

This leaves us with our final answer: 2 is 8.333 percent of 24