How to Find Percent of Increase and Decrease? (+FREE Worksheet!)
Percentage Change (increase or decrease) is comparing old to new values. Learn how to find the percent of increase and decrease using the formula.
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Step-by-step guide to finding the percent of increase and decrease
To find the percentage of increase or decrease:
- New Number – Original Number
- The result ÷ Original Number × 100
- If your answer is a negative number, then this is a percentage decrease. If it is positive, then this is a percent of the increase.
Percent of Increase and Decrease – Example 1:
Increased by 20%, the number 30 becomes:
Solution:
First find 20% of 30→20100 × 30=20 × 30100=6
Then: 30 + 6=36
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Percent of Increase and Decrease – Example 2:
The price of a shirt increases from $10 to $15. What is the percent increase?
Solution:
First find the difference: 15 – 10=5
5 is the result. Then: 5 ÷ 10=510=0.5=50%
Percent of Increase and Decrease – Example 3:
Increased by 50%, the number 84 becomes:
Solution:
First find 50% of 84→50100×84=50×84100=42
Then: 84+42=126
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Percent of Increase and Decrease – Example 4:
The price of a shirt increases from $20 to $28. What is the percent increase?
Solution:
First find the difference: 28–20=8
8 is the result. Then: 8÷20=820=0.4=40%
Exercises for Finding Percent of Increase and Decrease
Solve each percent of the change word problem.
- Bob got a raise, and his hourly wage increased from $20 to $25. What is the percent increase?
- The price of a pair of shoes increases from $18 to $27. What is the percent increase?
- At a coffee shop, the price of a cup of coffee increased from $1.50 to $1.80. What is the percent increase in the cost of the coffee?
- 4 cm are cut from a 20 cm board. What is the percent decrease in length?
- In a class, the number of students has been increased from 25 to 29. What is the percent increase?
- The price of gasoline rose from $2.60 to $2.86 in one month. By what percent did the gas price rise?
Answers
- 25%
- 50%
- 20%
- 20%
- 16%
- 10%
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