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Percentage worksheet

Grades 6–7 · CCSS 6.RP.A.3.c, 7.RP.A.3

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- What do you want to find?: The whole, given a part and its percent
- Percentage (P): 15%
- Part: 13
Find: Whole
Answer
2.
Problem 2.
- What do you want to find?: Percent increase or decrease from one number to another
- From (original value): 68
- To (new value): 73
Find: Percent increase from 68 to 73
Answer
3.
Problem 3.
- What do you want to find?: What percent one number is of another
- Part: 11
- Whole: 90
Find: 11 as a percentage of 90
Answer
4.
Problem 4.
- What do you want to find?: P% of a number
- Percentage (P): 18%
- Number: 90
Find: 18% of 90
Answer
5.
Problem 5.
- What do you want to find?: P% of a number
- Percentage (P): 14%
- Number: 70
Find: 14% of 70
Answer
6.
Problem 6.
- What do you want to find?: P% of a number
- Percentage (P): 12%
- Number: 95
Find: 12% of 95
Answer
7.
Problem 7.
- What do you want to find?: What percent one number is of another
- Part: 18
- Whole: 120
Find: 18 as a percentage of 120
Answer
8.
Problem 8.
- What do you want to find?: Percent increase or decrease from one number to another
- From (original value): 74
- To (new value): 70
Find: Percent decrease from 74 to 70
Answer
9.
Problem 9.
- What do you want to find?: The whole, given a part and its percent
- Percentage (P): 15%
- Part: 9
Find: Whole
Answer
10.
Problem 10.
- What do you want to find?: What percent one number is of another
- Part: 11
- Whole: 48
Find: 11 as a percentage of 48
Answer

Answer key: Percentage worksheet

1. Whole: 86.67
1. Turn the percentage into a decimal by dividing it by 100
  $\frac{15%}{100}$ $= 0.15$
2. The part is that share of the whole, so divide the part by the decimal to get the whole
  $\frac{13}{0.15}$ $= 86.666667$
3. Subtract the part to see what is left of the whole
  $86.666667 - 13$ $= 73.666667$
2. Percent increase from 68 to 73: 7.35%
1. Subtract the starting value from the new value to see how much it changed
  $73 - 68$ $= 5$
2. Compare that change with the starting value: divide by its size, then multiply by 100 for a percent
  $\frac{5}{68} \times 100$ $= 7.352941%$
3. 11 as a percentage of 90: 12.22%
1. Divide the part by the whole to see what share of it you have
  $\frac{11}{90}$ $= 0.122222$
2. Multiply by 100 to turn that decimal into a percent
  $0.122222 \times 100$ $= 12.222222%$
3. The rest of the whole is 100% minus that percent
  $100% - 12.222222%$ $= 87.777778%$
4. 18% of 90: 16.2
1. Turn the percentage into a decimal by dividing it by 100
  $\frac{18%}{100}$ $= 0.18$
2. Multiply the decimal by your number to get that share of it
  $0.18 \times 90$ $= 16.2$
3. To increase 90 by 18%, add that amount on top
  $90 + 16.2$ $= 106.2$
4. To decrease 90 by 18%, take that amount away
  $90 - 16.2$ $= 73.8$
5. 14% of 70: 9.8
1. Turn the percentage into a decimal by dividing it by 100
  $\frac{14%}{100}$ $= 0.14$
2. Multiply the decimal by your number to get that share of it
  $0.14 \times 70$ $= 9.8$
3. To increase 70 by 14%, add that amount on top
  $70 + 9.8$ $= 79.8$
4. To decrease 70 by 14%, take that amount away
  $70 - 9.8$ $= 60.2$
6. 12% of 95: 11.4
1. Turn the percentage into a decimal by dividing it by 100
  $\frac{12%}{100}$ $= 0.12$
2. Multiply the decimal by your number to get that share of it
  $0.12 \times 95$ $= 11.4$
3. To increase 95 by 12%, add that amount on top
  $95 + 11.4$ $= 106.4$
4. To decrease 95 by 12%, take that amount away
  $95 - 11.4$ $= 83.6$
7. 18 as a percentage of 120: 15%
1. Divide the part by the whole to see what share of it you have
  $\frac{18}{120}$ $= 0.15$
2. Multiply by 100 to turn that decimal into a percent
  $0.15 \times 100$ $= 15%$
3. The rest of the whole is 100% minus that percent
  $100% - 15%$ $= 85%$
8. Percent decrease from 74 to 70: -5.41%
1. Subtract the starting value from the new value to see how much it changed
  $70 - 74$ $= −4$
2. Compare that change with the starting value: divide by its size, then multiply by 100 for a percent
  $\frac{−4}{74} \times 100$ $= −5.405405%$
9. Whole: 60
1. Turn the percentage into a decimal by dividing it by 100
  $\frac{15%}{100}$ $= 0.15$
2. The part is that share of the whole, so divide the part by the decimal to get the whole
  $\frac{9}{0.15}$ $= 60$
3. Subtract the part to see what is left of the whole
  $60 - 9$ $= 51$
10. 11 as a percentage of 48: 22.92%
1. Divide the part by the whole to see what share of it you have
  $\frac{11}{48}$ $= 0.229167$
2. Multiply by 100 to turn that decimal into a percent
  $0.229167 \times 100$ $= 22.916667%$
3. The rest of the whole is 100% minus that percent
  $100% - 22.916667%$ $= 77.083333%$