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Percentages %

Writing one number as a percentage of another

1. Form a fraction with the two numbers

2. Convert the fraction into a decimal

3. Convert the decimal in a percentage

Example 1. Write 24 as a percentage of 32

24 as a fraction of 32 =24

32

24 as a decimal of 32 = 24 32 = 0.75

24 as a percentage of 32 = 0.75 100 = 75%

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Percentages %

Example 2: Tarn scores 75 out of 125 in an English test. What is her percentage mark?

Tarn’s mark as a fraction =75

125

Tarn’s mark as a decimal = 75 125 = 0.6

Tarn’s mark as a percentage = 0.6 100 = 60%

Step 1:

Step 2:

Step 3:

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Percentages %

Example 3: A cardigan is reduced from £25 to £19 in a sale. What is the percentage reduction?

Cash reduction =£25 – £19 = £6

6

25

Reduction as a decimal = 6 25 = 0.24

Reduction as a percentage = 0.24 100 = 24%

Step 1:

Step 2:

Step 3:

Reduction as a fraction =

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1 30 as a percentage of 752 27 as a percentage of 453 35 as a percentage of 504 56 as a percentage of 805 42 as a percentage of 1406 54 as a percentage of 1507 64 as a percentage of 1608 44 as a percentage of 2759 42 as a percentage of 600

10 126 as a percentage of 150

Practice: Write

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Practice Answers1 40%2 60%3 70%4 70%5 30%6 36%7 40%8 16%9 7%

10 84%