It's very common when learning about fractions to want to know how convert a fraction like 7/8 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 7/8 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 7/8 is 8, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 8 = 12.5
Once we have that, we can multiple both the numerator and denominator by this multiple:
7 x 12.5 / 8 x 12.5 = 87.5 / 100
Now we can see that our fraction is 87.5/100, which means that 7/8 as a percentage is 87.5%.
We can also work this out in a simpler way by first converting the fraction 7/8 to a decimal. To do that, we simply divide the numerator by the denominator:
7/8 = 0.875
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.875 x 100 = 87.5%
And there you have it! Two different ways to convert 7/8 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!
Fraction to Percentage Calculator
Next Fraction to Percentage Calculation
- What is 7/9 as a percentage?
| = Part |
In the problem "7 is what percent of 8?", 7 is the Part, 8 is the Whole, and Percent is what we are solving. When we enter the Whole and the Part in our formula, we get this:
To solve for Percent, we first multiply both sides by 100 to get rid of the denominator on the left side:
| = 7 × 100 |
= 700
Next, we divide both sides by 8 to get Percent by itself on the left side:
That's it! Above is the fractional answer to "7 is what percent of 8?". To get the decimal answer, you simply divide the numerator by the denominator. Thus, here is the final answer to "7 is what percent of 8?" in decimal percent form: 700/8
= 87.5%
Is What Percent of Calculator Here you can submit another problem for us to solve:
7 is what percent of 9? Want to learn more? Here is the next problem on our list. Copyright | Privacy Policy | Disclaimer | Contact
Question: Your uncle had 8 shares of his own company a few years earlier, and now he has 7 of them. What percent of the shares of his company he has now?
Answer: He has 87.5 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 8 on the bottom of the fraction and 7 on top. Now we're ready to figure out the part we don't know; the Percent.
7/8 = 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:
7/8 × 100/100 = 87.5/100
87.5 = Percent
And that means he has 87.5 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% / 8 = Y% / 7
Step 2: Drop the percentage marks to simplify your calculations: 100 / 8 = Y / 7
Step 3: Multiply both sides by 7 to isolate Y on the right side of the equation: 7 ( 100 / 8 ) = Y
Step 4: Computing the left side, we get: 87.5 = Y
This leaves us with our final answer: 87.5 percent of 8 is 7
7: 8*100 =
(7*100): 8 =
700: 8 = 87.5
Now we have: 7 is what percent of 8 = 87.5
Question: 7 is what percent of 8?
Percentage solution with steps:
Step 1: We make the assumption that 8 is 100% since it is our output value.
Step 2: We next represent the value we seek with {x}.
Step 3: From step 1, it follows that {100\%}={ 8}.
Step 4: In the same vein, {x\%}={7}.
Step 5: This gives us a pair of simple equations:
{100\%}={ 8}(1).
{x\%}={7}(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
\frac{100\%}{x\%}=\frac{ 8}{7}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{7}{ 8}
\Rightarrow{x} = {87.5\%}
Therefore, {7} is {87.5\%} of { 8}.
Solution: 7 is what percent of 8 is equal to (7 / 8) x 100 = 87.50%. So if you buy an item at $8 with $7 discounts, you will pay $1 and get 87.50% discount cashback rewards. So 7 out of 8 as a percentage is 87.50%
Calculate 7 is what percent of 8 with this calculator
$7 out of 8 is what percent
In calculating 7% of a number, sales tax, credit cards cash back bonus, interest, discounts, interest per annum, dollars, pounds, coupons,7% off, 7% 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
$7 out of 8 is what percent
Answer:The question $7 out of 8 is 87.50%, which is the same as 7/8 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 7% interest per annum
Answer: You work out 7% interest per annum by using simple interest formula of I=PxTxR/100. Where r is the rate of 7% , P=Principal, T=Time
Formula and equation for % of something or whole numbers
Answer: Use the tool above to compute that
What is 7 sales tax formula
Answer: 7 sales tax is calculated by getting the 7% of your sales as tax
How to get gross profit or weight loss of % calculation
Answer: Use the tool above to compute that
87.50% of 8 is what
Answer: To find out 87.50% of 8 is what dollars or pounds, simply use the calculator to get the solution
How to calculate 7 of a price
Answer: Calculate 7 of a price by entering the price on the calculator with your value to get the %
How to calculate 7% pounds discounts
Answer: calculate 7% 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 8 is 7 dollars
Answer: calculate percent of 7 of 8 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 .
If you spot an error on this site, we would be grateful if you could report it to us by using the contact email provided. send email to contact on our site.