Percent Change Worksheet
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Percent Change Worksheet
Name:Date:Class:
1.What is the percent decrease from 100 to 20?
2.What is the percent decrease from 10 to 3?
3.What is the percent decrease from 10 to 7?
4.What is the percent increase from 95 to 190?
5.What is the percent decrease from 96 to 72?
6.What is the percent increase from 97 to 194?
7.What is the percent increase from 47 to 94?
8.What is the percent decrease from 55 to 22?
9.What is the percent increase from 96 to 120?
10.What is the percent increase from 45 to 72?
11.What is the percent decrease from 26 to 13?
12.What is the percent increase from 30 to 51?
13.What is the percent decrease from 50 to 25?
14.What is the percent decrease from 20 to 8?
15.What is the percent increase from 88 to 132?
16.What is the percent decrease from 46 to 23?
17.What is the percent increase from 24 to 36?
18.What is the percent increase from 50 to 90?
19.What is the percent decrease from 85 to 17?
20.What is the percent decrease from 44 to 22?
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Worked Example
Problem: A jacket originally cost $80. It is now on sale for $60. What is the percent change?
- Find the amount of change: $80 − $60 = $20— Subtract the new value from the original to find how much the value changed.
- Divide by the original value: 20 ÷ 80 = 0.25— The original value is always the denominator — it is the base you compare the change against.
- Multiply by 100 to convert to a percent: 0.25 × 100 = 25— Converting to a percent makes the magnitude of the change easy to interpret.
- Since the price decreased, it is a 25% decrease.— The new value is less than the original, confirming this is a percent decrease, not an increase.
Answer: The percent change is a 25% decrease.
Frequently Asked Questions
Percent Change = ((New Value − Original Value) / Original Value) × 100. A positive result is an increase; a negative result is a decrease.
If the new value is greater than the original, it is a percent increase. If the new value is less, it is a percent decrease. The formula gives a positive or negative number accordingly.
Dividing by the new value instead of the original value. Always divide by the starting (original) value, not the ending value.
Yes. If a quantity doubles, the percent increase is 100%. If it triples, it is 200%. There is no upper limit on percent increase.
Sale discounts, population growth, stock price changes, and grade improvements are all expressed as percent change. It puts the size of a change in context relative to the original.