# How to Express One Number As a Percentage of Another Number

## One Number As a Percentage of Another Number

One number can be expressed as a percentage of another number.

For example, 3 out of 5 can be written as 60%.

## How to Express One Number As a Percentage of Another Number

Expressing one number as a percentage of another is easy. Divide one number by the other number, then multiply by 100%.

### Question

What is 45 out of 60 as a percentage?

Divide 45 by 60.

45 ÷ 60 = 0.75

# 2

Multiply the answer (0.75) by 100%.

0.75 × 100% = 75%

Don't forget: a percentage has a % ("percent") sign after it.

45 out of 60 expressed as a percentage is 75%.

## A Formula to Express One Number As a Percentage of Another Number

Expressing one number as a percentage of another involves writing one number as a fraction of the other and multiplying by 100%.

For example, to express 3 out of 5 as a percentage, we would write 3 out of 5 as a fraction and multiply by 100%: More generally, to express a number n1 out of of a number n2 as a percentage, use the formula below: ## A Real Example of Using a Formula to Express One Number As a Percentage of Another Number

### Question

What is 12 out of 60 as a percentage?

# 1

n1n2 × 100%

Don't forget: / means ÷.

# 2

Substitute the numbers into the formula. The formula is for n1 out of n2.In our example, we are finding 12 out of 60, so n1 = 12 and n2 = 60.

1260 × 100% = 12 ÷ 60 × 100%

1260 × 100% = 0.2 × 100%

1260 × 100% = 20%