Percentages questions

Finding percentages, percent change, and percent of a number.

Covers percentage of a number, percent change, and reverse-percentage problems, with a percentage calculator for quick checks.

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Sample Percentages questions

1. A value changes from 146 to 197. What is the percent change?+

Answer: 34.93%

Step 1: Find the difference: 197 - 146 = 51. Step 2: Divide by the original value: 51 / 146 = 0.3493. Step 3: Convert to a percentage: 34.93%.

2. A value changes from 40 to 15. What is the percent change?+

Answer: -62.5%

Step 1: Find the difference: 15 - 40 = -25. Step 2: Divide by the original value: -25 / 40 = -0.625. Step 3: Convert to a percentage: -62.5%.

3. What is 75% of 40?+

Answer: 30

Step 1: Convert the percentage to a decimal: 75% = 0.75. Step 2: Multiply by 40: 0.75 × 40 = 30.

4. 62% of a number is 248. What is the number?+

Answer: 400

Step 1: Write the relationship as an equation: 62% × n = 248. Step 2: Divide both sides by 0.62: n = 248 / 0.62. Step 3: n = 400.

5. 12% of a number is 9. What is the number?+

Answer: 75

Step 1: Write the relationship as an equation: 12% × n = 9. Step 2: Divide both sides by 0.12: n = 9 / 0.12. Step 3: n = 75.

6. A value changes from 153 to 135. What is the percent change?+

Answer: -11.76%

Step 1: Find the difference: 135 - 153 = -18. Step 2: Divide by the original value: -18 / 153 = -0.1176. Step 3: Convert to a percentage: -11.76%.