Follow Us on Twitter

How to Find the Percentage of a Number (Mathematics Lesson)

Finding a Percentage of a Number

A percentage of a number lets us find part of a number.

Imagine 60% (60 percent) of a class of 25 students love mathematics.

15 students (60% of 25) love mathematics.

How to Find the Percentage of a Number

To find the percentage of a number you have to divide the percentage by 100 then multiply the answer by the number:

A Real Example of How to Find the Percentage of a Number


An Example Question

What is 60% of 25?
Step 1
Write a percentage of a number as a percentage/100 × number, like the formula above.

In our example, the number is 25 and the fraction is 60.



Step 2
Divide the percentage (60) by 100.


60 ÷ 100 = 0.6
Step 3
Multiply the answer (0.6) by the number (25).


0.6 × 25 = 15
We have an answer:

Another Real Example of How to Find the Percentage of a Number

The slider below gives another example of finding the percentage of a number.
Quick Test
  show
 


Here's a second test on finding a percentage of a number.
Here's a third test on finding a percentage of a number.
Note

What Is a Percentage?

A percentage expresses a part of a whole number as parts out of 100.

"Per cent" means "per 100" or "out of 100".

A percentage is shown by the symbol %.

Explaining the Formula

Finding the percentage of a number uses the formula below:



In the example on this page, 60% of 25 has been expressed as the formula below:



60% has been written as a fraction (60/100). (Percentages and fractions are both ways of expressing a part of a whole).

Read more about converting percentages to fractions

Then part of the number is found by multiplying the fraction (60/100) with the number (25).

Read more about finding the fraction of a number