What percent? Work backward
Find the percent, the whole, or the price before a discount.
In your head, jot if needed · no calculator why?
Opens at level 13.
Lesson and untimed practice
Read the full lesson and try each skill without a clock. About 3 minutes to read.
skills · practice stats
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What percent? not tried yet
worked example
70 is what percent of 200?
Answer: 35%
- Part ÷ whole: 70/200 = 7/20 = 0.35 = 35%.
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Find the whole not tried yet
worked example
19 is 20% of what number?
Answer: 95
- 20% is one fifth, so the whole is 5 × 19 = 95.
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Percent change not tried yet
worked example
A price rises from $500 to $525. What is the percent increase?
Answer: 5%
- Change ÷ starting value: 25 ÷ 500 = 0.05 = 5%.
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Price before the discount not tried yet
worked example
After 25% off, a lamp costs $198. What was the original price?
Answer: $264.00
- $198 is 75% of the original, so divide by 0.75: 198 ÷ 0.75 = $264.
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