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# Finding the Percentage of a Number

(KS3, Year 7)

## The Lesson

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

## Question

What is 60% of 25?## Step-by-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.# 2

Divide the percentage (60) by 100.

60 ÷ 100 = 0.6

# 3

Multiply the answer (0.6) by the number (25).

0.6 × 25 = 15

## Answer:

60% of 25 is 15.## 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**%**.

## Why Does the Formula Work?

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

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