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Percentage increase and decrease

Work out the percentage increase or decrease from an original amount.

Practice + answer key · 3 pages

Worksheet settings12 questions · 2 columns · A4
Original quantity

The percentage is based on this starting amount. The changed amount may be a decimal.

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Percentage increase and decreasePercentage increase and decrease. Practice. A quantity changes from 78 to 117. Find the percentage change. A quantity changes from 70 to 63. Find the percentage change. A quantity changes from 81 to 89.1. Find the percentage change. A quantity changes from 60 to 72. Find the percentage change. A quantity changes from 45 to 36. Find the percentage change. A quantity changes from 66 to 49.5. Find the percentage change. A quantity changes from 60 to 48. Find the percentage change. A quantity changes from 27 to 29.7. Find the percentage change. A quantity changes from 59 to 47.2. Find the percentage change. A quantity changes from 43 to 38.7. Find the percentage change.Name __________________________Date _______________Percentage increase and decreaseFind the percentage change and state increase or decrease.Worked exampleA quantity changes from 80 to 100. Find the percentage change. → 25% increase100 − 80 = 20.1.A quantity changes from 78 to117. Find the percentage change.2.A quantity changes from 70 to 63.Find the percentage change.3.A quantity changes from 81 to89.1. Find the percentage change.4.A quantity changes from 60 to 72.Find the percentage change.5.A quantity changes from 45 to 36.Find the percentage change.6.A quantity changes from 66 to49.5. Find the percentage change.7.A quantity changes from 60 to 48.Find the percentage change.8.A quantity changes from 27 to29.7. Find the percentage change.9.A quantity changes from 59 to47.2. Find the percentage change.10.A quantity changes from 43 to38.7. Find the percentage change.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 2mathsprig-1 · mathsprig-v1 · ea50b5f9
Percentage increase and decreasePercentage increase and decrease. Practice. A quantity changes from 77 to 115.5. Find the percentage change. A quantity changes from 63 to 50.4. Find the percentage change.Name __________________________Date _______________Percentage increase and decreaseFind the percentage change and state increase or decrease.11.A quantity changes from 77 to115.5. Find the percentagechange.12.A quantity changes from 63 to50.4. Find the percentage change.MathSprig · mathsprig.site · support@mathsprig.sitePage 2 of 2mathsprig-1 · mathsprig-v1 · ea50b5f9
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Practice + answer key · 3 pages

Ratios & percentages

What you’ll practice

Distinguish percentage increase from decrease and divide by the original value.

Find how much the amount changed, then compare that change with the original amount. Use the starting value as the base whether the change is an increase or a decrease.

How this skill works

Subtract original from new to find the signed change.

Divide the change by the original amount and multiply by 100. A positive result is an increase; a negative result is a decrease.

Worked example

A quantity changes from 80 to 100. Find the percentage change.
  1. 100 − 80 = 20.
  2. 20 ÷ 80 × 100 = 25%.
  3. The new amount is larger, so this is a 25% increase.

Answer: 25% increase

Teaching notes

  • Always use the original quantity in the denominator.
Practice questions
  1. A quantity changes from 78 to 117. Find the percentage change.
  2. A quantity changes from 70 to 63. Find the percentage change.
  3. A quantity changes from 81 to 89.1. Find the percentage change.
  4. A quantity changes from 60 to 72. Find the percentage change.
  5. A quantity changes from 45 to 36. Find the percentage change.
  6. A quantity changes from 66 to 49.5. Find the percentage change.
  7. A quantity changes from 60 to 48. Find the percentage change.
  8. A quantity changes from 27 to 29.7. Find the percentage change.
  9. A quantity changes from 59 to 47.2. Find the percentage change.
  10. A quantity changes from 43 to 38.7. Find the percentage change.
  11. A quantity changes from 77 to 115.5. Find the percentage change.
  12. A quantity changes from 63 to 50.4. Find the percentage change.
Answers and steps
  1. 50% increase
    1. Change = 117 − 78 = 39.
    2. 39 ÷ 78 × 100 = 50%.
  2. 10% decrease
    1. Change = 63 − 70 = −7.
    2. −7 ÷ 70 × 100 = −10%.
  3. 10% increase
    1. Change = 89.1 − 81 = 8.1.
    2. 8.1 ÷ 81 × 100 = 10%.
  4. 20% increase
    1. Change = 72 − 60 = 12.
    2. 12 ÷ 60 × 100 = 20%.
  5. 20% decrease
    1. Change = 36 − 45 = −9.
    2. −9 ÷ 45 × 100 = −20%.
  6. 25% decrease
    1. Change = 49.5 − 66 = −16.5.
    2. −16.5 ÷ 66 × 100 = −25%.
  7. 20% decrease
    1. Change = 48 − 60 = −12.
    2. −12 ÷ 60 × 100 = −20%.
  8. 10% increase
    1. Change = 29.7 − 27 = 2.7.
    2. 2.7 ÷ 27 × 100 = 10%.
  9. 20% decrease
    1. Change = 47.2 − 59 = −11.8.
    2. −11.8 ÷ 59 × 100 = −20%.
  10. 10% decrease
    1. Change = 38.7 − 43 = −4.3.
    2. −4.3 ÷ 43 × 100 = −10%.
  11. 50% increase
    1. Change = 115.5 − 77 = 38.5.
    2. 38.5 ÷ 77 × 100 = 50%.
  12. 20% decrease
    1. Change = 50.4 − 63 = −12.6.
    2. −12.6 ÷ 63 × 100 = −20%.