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Decimals to Percentages Conversion

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Decimals to Percentages Conversion

Convert between decimals and percentages. Show your working where space is provided.

Understand percentages

Remember: per cent means per hundred.

1.The word percentage means an amount out of how many equal parts?
  • 10
  • 100
  • 1,000
  • 10,000
2.Complete the rule: To change a decimal into a percentage, multiply it by and write the sign.
3.Which percentage is equal to 0.38?
  • 3.8%
  • 38%
  • 380%
  • 0.38%

Convert decimals and percentages

Use place value to move between hundredths and per cent.

4.Convert 0.42 to a percentage.
5.Convert 0.09 to a percentage.
6.Convert 0.68 to a percentage.
7.Write 0.7 as a percentage.
8.Convert 65% to a decimal.
9.Write 7% as a decimal.
10.Convert 92% to a decimal.
11.Write 30% as a decimal.

Equivalent forms

Match each fraction with the decimal-percentage pair that has the same value.

12.Match each fraction to its equivalent decimal and percentage.
  • 1/2
  • 1/4
  • 3/4
  • 2/5
  • 3/5
  • 0.5 = 50%
  • 0.25 = 25%
  • 0.75 = 75%
  • 0.4 = 40%
  • 0.6 = 60%

Use percentages in context

Read each situation carefully and calculate the answer.

13.A $60 jacket is discounted by 10%. How many dollars are taken off the price?
14.A $120 bike helmet is reduced by 25%. What is the discount in dollars?
15.A sports club has 30 members. The decimal 0.4 of them chose swimming as their activity. What percentage of the members chose swimming?
16.A survey found that 28% of pupils travel to school by bus. Write 28% as a decimal.

Check your understanding

Choose every statement that shows equivalent values.

17.Select all the equivalent pairs.
  • 0.3 and 30%
  • 0.08 and 80%
  • 1/5 and 0.2
  • 45% and 0.45
  • 0.9 and 9%
18.Explain how you can convert 0.36 into a percentage. Include the calculation and the result.

3 printable pages

  • Questions on the meaning of per cent and converting decimals to percentages.

    Page 1

  • Practice converting percentages to decimals and matching equivalent fractions, decimals and percentages.

    Page 2

  • Word problems about discounts and percentages, followed by a conversion challenge.

    Page 3

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