# 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?

### Step-by-Step:

# 1

Divide 45 by 60.

45 ÷ 60 = 0

# 2

Multiply the answer (0.75) by 100%.

0.75 × 100% = 75%

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

### Answer:

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 **n _{1}** out of of a number

**n**as a percentage, use the formula below:

_{2}## 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?

### Step-by-Step:

# 1

Start with the formula:

^{n1}⁄_{n2} × 100%

**Don't forget:** / means ÷.

# 2

Substitute the numbers into the formula. The formula is for n_{1} out of n_{2}.In our example, we are finding 12 out of 60, so n_{1} = 12 and n_{2} = 60.

^{12}⁄_{60} × 100% = 12 ÷ 60 × 100%

^{12}⁄_{60} × 100% = 0.2 × 100%

^{12}⁄_{60} × 100% = 20%

### Answer:

12 out of 60 expressed as a percentage is 20%.