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GCSE Maths Number Percentages

Percentage Multipliers

Percentage Multipliers

Here we will learn about about using a percentage multiplier including how to find the single multiplier from a percentage and use the single multiplier to answer percentage questions.
There are also percentage multiplier worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

What is a percentage multiplier?

A percentage multiplier is a number which is used to calculate a percentage of an amount or used to increase or decrease an amount by a percentage.

E.g. 

In order to find 12% of a number we can multiply the number by a multiplier:

\[12\% = \frac{12}{100} = 0.12\]

So 0.12 is the multiplier.

What is a percentage multiplier?

What is a percentage multiplier?

These questions will often involve interest rates in financial situations such as simple interest or compound interest.  It is sometimes referred to as the multiplier method.

How to find a decimal multiplier from a percentage

In order to write a decimal multiplier from a percentage:

  1. Write down the percentage
  2. Convert this percentage to a decimal by dividing by 100 – this is the multiplier
  3. Multiply the original amount by the multiplier

Explain how to write a decimal multiplier from a percentage in 3 steps

Explain how to write a decimal multiplier from a percentage in 3 steps

Percentage multipliers worksheet

Percentage multipliers worksheet

Percentage multipliers worksheet

Get your free percentage multipliers worksheet of 20+ questions and answers. Includes reasoning and applied questions.

DOWNLOAD FREE
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Percentage multipliers worksheet

Percentage multipliers worksheet

Percentage multipliers worksheet

Get your free percentage multipliers worksheet of 20+ questions and answers. Includes reasoning and applied questions.

DOWNLOAD FREE

Percentage multiplier examples

Example 1: finding the decimal multiplier

What is the decimal multiplier for 58 \%?

  1. Write down the percentage required

\[58 \%\]

2Convert the percentage to a decimal by dividing by 100

\[58\% = \frac{58}{100} = 0.58\]

The decimal multiplier is 0.58.

Example 2: finding the decimal multiplier

What is the decimal multiplier for 26%?

\[26 \%\]

\[26\% = \frac{26}{100} = 0.26\]


The decimal multiplier is 0.26.

Example 3: finding the decimal multiplier

What is the decimal multiplier for 4.5%?

\[4.5 \%\]

\[4.5\% = \frac{4.5}{100} = 0.045\]


The decimal multiplier is 0.045.

How to use a percentage multiplier to calculate the percentage of an amount

In order to use a percentage multiplier to calculate the percentage of an amount:

  1. Write down what percentage you need
  2. Convert this percentage to a decimal by dividing by 100; this is the decimal multiplier
  3.  Multiply the original amount in the question by the decimal multiplier

Example 4: finding the percentage of an amount

Work out 34% of £700

\[34 \%\]

\[34\% = \frac{34}{100} = 0.34\]

What is the original amount? 700


What is the decimal multiplier? 0.34

\[700\times0.34=238\]


The answer is £238.

Example 5: finding the percentage of an amount

Work out 8% of £650

\[8 \%\]

\[8\% = \frac{8}{100} = 0.08\]

What is the original amount? 650


What is the decimal multiplier? 0.08

\[650\times0.08=52\]


The answer is £52.

Example 6: finding the percentage of an amount

Work out 15.6% of 200 kg

\[15.6 \%\]

\[15.6\% = \frac{15.6}{100} = 0.156\]

What is the original amount? 200


What is the decimal multiplier? 0.156

\[200\times0.156=31.2\]


The answer is 31.2 kg.

Example 7: calculating a percentage increase

Increase £320 by 25%

\[100\%+25\%=125\%\]

\[125\% = \frac{125}{100} = 1.25\]

What is the original amount? 320


What is the decimal multiplier? 1.25

\[320\times1.25=400\]


The answer is £400.

Example 8: calculating a percentage decrease

Decrease £600 by 7%

\[100\%-7\%=93\%\]

\[93\% = \frac{93}{100} = 0.93\]

What is the original amount? 600


What is the decimal multiplier? 0.93

\[600\times0.93=558\]


The answer is £558.

Common misconceptions

  • Decimal multipliers greater than 1

If you need the decimal multiplier of 135% it would be 1.35, so multipliers can in fact be greater than 1.

\[135\% = \frac{135}{100} = 1.35\]

  • Take care to remember pence when you are working with money

An answer of £43.7 should be written as £43.70.  You need two decimal places for the pence part of the answer.

Practice percentage multiplier questions

1. What is the decimal multiplier of 61\% ?

 

0.61

GCSE Quiz True

6.10

GCSE Quiz False

610

GCSE Quiz False

0.061

GCSE Quiz False
61\% = \frac{61}{100} = 0.61

 

So 0.61 is the multiplier.

2. What is the decimal multiplier of 5\% ?

 

0.5

GCSE Quiz False

5.00

GCSE Quiz False

500

GCSE Quiz False

0.05

GCSE Quiz True
5\% = \frac{5}{100} = 0.05

 

So 0.05 is the multiplier.

3. What is the decimal multiplier of 18.3\% ?

 

0.183

GCSE Quiz True

1.83

GCSE Quiz False

18.3

GCSE Quiz False

0.0183

GCSE Quiz False
18.3\% = \frac{18.3}{100} = 0.183

 

So 0.183 is the multiplier.

4. Work out 29\% of £400

 

\pounds 371

GCSE Quiz False

\pounds 116

GCSE Quiz True

\pounds 29

GCSE Quiz False

\pounds 429

GCSE Quiz False
29\% = \frac{29}{100} = 0.29

 

So 0.29 is the multiplier.

 

0.29 \times 400 = 116

5. Work out 9\% of 450 km?

 

45.0 km

GCSE Quiz False

40.5 km

GCSE Quiz True

441 km

GCSE Quiz False

50.0 km

GCSE Quiz False
9\% = \frac{9}{100} = 0.09

 

So 0.09 is the multiplier.

 

0.09 \times 450 = 40.5

6. Work out 14.8\% of 560 kg?

 

8.288 kg

GCSE Quiz False

412 kg

GCSE Quiz False

148 kg

GCSE Quiz False

82.88 kg

GCSE Quiz True
14.8\% = \frac{14.8}{100} = 0.148

 

So 0.148 is the multiplier.

 

0.148 \times 560 = 82.88

Percentage multiplier GCSE questions

1.  Write 61\% as a decimal

 

(1 mark)

Show answer

61\% = \frac{61}{100} = 0.61

 

0.61

  (1)

2.  Work out 38\% of 600 kg

 

(2 marks)

Show answer

0.38 × 600

(1)

= 228 kg 

(1)

3.  Fiona is booking a holiday.

The holiday costs £700 .

She pays a 15\% deposit.

Work out how much she has left to pay.

 

(2 marks)

Show answer

100\% \hspace{1mm}- 15\% = 85\%=0.85

 

0.85 × 700

(1)

\pounds 595

(1)

Learning checklist

You have now learned how to:

  • Find the decimal multiplier of a percentage
  • Interpret percentages and percentage changes as a decimal
  • Use the decimal multiplier to work out the percentage of an amount
  • Interpret percentages multiplicatively

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