Question: Your uncle had 60 shares of his own company a few years earlier, and now he has 40 of them. What percent of the shares of his company he has now?
Answer: He has 66.667 percent of shares of his company now.
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 that our uncle owned. So we put 60 on the bottom of the fraction and 40 on top. Now we're ready to figure out the part we don't know; the Percent.
40/60 = 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:
40/60 × 100/100 = 66.667/100
66.667 = Percent
And that means he has 66.667 percent of the shares of his company now.
Another step by step method
Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 60 = Y% / 40
Step 2: Drop the percentage marks to simplify your calculations: 100 / 60 = Y / 40
Step 3: Multiply both sides by 40 to isolate Y on the right side of the equation: 40 ( 100 / 60 ) = Y
Step 4: Computing the left side, we get: 66.667 = Y
This leaves us with our final answer: 66.667 percent of 60 is 40
Solution and how to convert 40 / 60 into a percentage
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- What is 40/60 as a percentage?
We encourage you to check out our introduction to percentage page for a little recap of what percentage is. You can also learn about fractions in our fractions section of the website. Sometimes, you may want to express a fraction in the form of a percentage, or vice-versa. This page will cover the former case. Luckily for us, this problem only requires a bit of multiplication and division. We recommend that you use a calculator, but solving these problems by hand or in your head is possibly too! Here's how we discovered that 40 / 60 = 66.67% :
- Step 1: Divide 40 by 60 to get the number as a decimal. 40 / 60 = 0.67
- Step 2: Multiply 0.67 by 100. 0.67 times 100 = 66.67. That's all there is to it!
Note that you can reverse steps 1 and 2 and still come to the same solution. If you multiply 40 by 100 and then divide the result by 60, you will still come to 66.67!
When are fractions useful?
Fractions are commonly used in everyday life. If you are splitting a bill or trying to score a test, you will often describe the problem using fractions. Sometimes, you may want to express the fraction as a percentage.
Convert 40 / 60 into a percentage or decimal
| 66.67% | 40 / 60 | 0.67 |
Remember: Converting a fraction to a percentage or decimal are all equivalent numbers. They are all used to represent a relationship between numbers. We can choose how we represent numbers by which style matches the appropriate situation.
Find the Denominator
A percentage is a number out of 100, so we need to make our denominator 100!
If the original denominator is 60, we need to solve for how we can make the denominator 100.
Hint: percentages all have a denominator of 100!
To convert this fraction, we would divide 100 by 60, which gives us 1.67.
Find the Numerator
Now, we multiply 1.67 by 40, our original numerator, which is equal to 66.67
Convert your Fraction to a Percent
Remember, a percentage is any number out of 100. If we can balance 40 / 60 with a new denominator of 100, we can find the percentage of that fraction!
Help your students convert 40 / 60 through further understanding:
- What is the numerator of 40 / 60?
- What is the denominator of 40 / 60?
- When would you use 40 / 60 as a fraction? Give examples
- When would you use 40 / 60 as a decimal? Give examples
- When would you use 40 / 60 as a percentage? Give examples
- What are three other fractions that convert to 66.67%?
- Ask your students to think of three real life examples of when to use fractions vs percentages.
- Which fraction is larger: 40 / 60 or 34 / 35?
Solution: 40 is what percent of 60 is equal to (40 / 60) x 100 = 66.67%. So if you buy an item at $60 with $40 discounts, you will pay $20 and get 66.67% discount cashback rewards. So 40 out of 60 as a percentage is 66.67%
Calculate 40 is what percent of 60 with this calculator
$40 out of 60 is what percent
In calculating 40% of a number, sales tax, credit cards cash back bonus, interest, discounts, interest per annum, dollars, pounds, coupons,40% off, 40% of price or something, we use the formula above to find the answer. The equation for the calculation is very simple and direct. You can also compute other number values by using the calculator above and enter any value you want to compute.percent dollar to pound = 0 pound
Percentage calculator tool can be used by first entering the fractional value you want to calculate. For example 5% of 20, which is the same thing as fraction x/100 * 20=5%. To find the value of x enter 5 in the first box and 20 in the second box and the answer 1 will be shown in the result box.
Percentage off calculator Common questions
$40 out of 60 is what percent
Answer:The question $40 out of 60 is 66.67%, which is the same as 40/60 as a percent. This can be solved using this calculator above
How do i work out Percentages without calculation ?
Answer: You work out Percentages by using the formula and tool above
How to calculate the % of a number ?
Answer: Using Percentage formula and equation above
What % of a number is another number
Answer: Use the calculator above to compute that
How to figure out and get 40% interest per annum
Answer: You work out 40% interest per annum by using simple interest formula of I=PxTxR/100. Where r is the rate of 40% , P=Principal, T=Time
Formula and equation for % of something or whole numbers
Answer: Use the tool above to compute that
What is 40 sales tax formula
Answer: 40 sales tax is calculated by getting the 40% of your sales as tax
How to get gross profit or weight loss of % calculation
Answer: Use the tool above to compute that
66.67% of 60 is what
Answer: To find out 66.67% of 60 is what dollars or pounds, simply use the calculator to get the solution
How to calculate 40 of a price
Answer: Calculate 40 of a price by entering the price on the calculator with your value to get the %
How to calculate 40% pounds discounts
Answer: calculate 40% pounds discounts by entering the discounts price on the calculator with your value to get the discounts and gets cash back bonus on your credit card
what percent of 60 is 40 dollars
Answer: calculate percent of 40 of 60 dollars by using the tool
This can also be used as discount application for calculating shopping discounts, coupon off, body fat, gross profit, weight loss, love, tax, population increase & decrease, sales profit, credit cards cash back bonus. Once you know the values, to determine the % is easy .
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40 percent *60
= (40/100)*60
= (40*60)/100
= 2400/100 = 24
Now we have: 40 percent of 60 = 24
Question: What is 40 percent of 60?
We need to determine 40% of 60 now and the procedure explaining it as such
Step 1: In the given case Output Value is 60.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 60 = 100%.
Step 4: In the Same way, x = 40%.
Step 5: On dividing the pair of simple equations we got the equation as under
60 = 100% (1).
x = 40% (2).
(60%)/(x%) = 100/40
Step 6: Reciprocal of both the sides results in the following equation
x%/60% = 40/100
Step 7: Simplifying the above obtained equation further will tell what is 40% of 60
x = 24%
Therefore, 40% of 60 is 24