of Numbers

Welcome to our How to Find Percentage of numbers support page.

Here you will find information and a step-by-step guide to finding percentages of numbers.

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Percentages are another area that children can find quite difficult. There are several key areas within percentages which need to be mastered in order.

Our selection of percentage worksheets will help you to find percentages of numbers and amounts, as well as working out percentage increases and decreases and converting percentages to fractions or decimals.

Key percentage facts:

- 50% = 0.5 = ½
- 25% = 0.25 = ¼ 75% = 0.75 = ¾
- 10% = 0.1 =
^{1}⁄_{10} - 1% = 0.01 =
^{1}⁄_{100}

Below is a step-by-step guide to finding percentages of numbers.

At the bottom of this page you will also find two printable resource sheets which explain about how to calculate fractions in a little more detail.

We also have a percentage calculator so that you can check your answers.

If you need to check a percentage of a number, use or Percentage Of calculator below.

This calculator will help you to find a given percentage of a number.

Simply enter the percentage in the first box and the number in the 2nd box.

Click on the 'Get Answer' box to work out the percentage you need!

How to find a Percentage of a number

Here are the 3 simple steps for finding a percentage of a number:

Step 1

- Convert the percentage to a decimal by dividing it by 100.

Step 2

- Multiply this decimal by the number you are finding the percentage of.

Step 3

- Check your units of measurement.

You should have now found your percentage of a number!

Examples

Example 1) Find 27% of $50.

Step 1)

We convert the percentage to a decimal by dividing by 100.

27 ÷ 100 = 0.27

Step 2)

We need to multiply decimal by the number we are finding the percentage of.

0.27 x 50 = 13.5

Step 3)

We need to convert this amount to dollars. So 13.5 = $13.50

Answer: $13.50

Example 2) Find 17% of 160m.

Step 1)

Convert the percentage to a decimal by dividing by 100.

17 ÷ 100 = 0.17

Step 2)

We need to multiply this decimal by our number.

0.17 x 160 = 27.2

Step 3)

Check units of measure.

Answer: 27.2m

Some Special Cases

The three simple steps above will quickly tell you how to find the percentage of **any** number.

However, there are some special cases which **quicker** and **easier** to work out.

To find 50% of a number - just halve it!

50% is the same as the fraction ½

To find 25% of a number, quarter it (or divide by 4).

25% is the same as one-fourth or one-quarter

To find 75% of a number, quarter it then multiply by 3.

75% is the same as three-fourths or three-quarters.

To find 10% of a number, divide it by 10!

10% is the same as one-tenth.

To find a multiple of 10%, like 30% or 70% of a number, just divide by 10 and multiply by the numbers of tens you have.

To find 30%, you divide by 10 and multiply by 3.

To find 70%, divide by 10 and multiply by 7.

Examples

Example 1) Find 50% of 28.

To find 50%, we just halve the number.

Half of 28 is 14.

Answer: 14

Example 2) Find 25% of $120.

To find 25% of a number, we quarter it (or divide it by 4).

120 ÷ 4 = 30

Answer: $30

Example 3) Find 75% of 20 miles.

To find 75% of a number, we quarter it then multiply by 3.

20 ÷ 4 = 5

5 x 3 = 15

Answer: 15 miles

Example 4) Find 10% of 5km.

To find 10% of a number, divide it by 10.

5 ÷ 10 = 0.5

Answer: 0.5km or 500m

Example 5) Find 60% of 40 gallons.

To find 60%, we divide by 10 and multiply by 6.

40 ÷ 10 = 4

4 x 6 = 24

Answer: 24 gallons

How to find percentage of a number printable support page

This printable support sheet below gives you the basic information on this page along with some worked examples.

It has been produced in a clear easy-to-print format.

Percentage of a number worksheets

If you are looking for some worksheets to test your knowledge then look no further.

Our Percentage of a number and percentage of money worksheets involve finding a range of percentages of different numbers and amounts.

The sheets have been carefully graded into different levels of difficulty so that you can select the right level for your child.

Percentage Word Problems

Test out your skill and application of percentages by solving some of our percentage word problems.

The word problems are carefully graded and each word problem sheets comes in different levels of difficulty.

How can I work out the percentage increase (or decrease)?

Take a look at our How to Work Out Percentage Increase/Decrease page.

This page is all about finding the percentage increase or decrease between two numbers.

We also have a percentage increase calculator that will work it all out for you at the click of a button.

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