Math worksheet for finding percentages of numbers, with 20 problems and space for answers.
A math worksheet titled "Finding Percent of Number" with 20 problems asking to find what percent one number is of another, to be rounded to the nearest hundredth. The worksheet includes a section for answers and a footer with the website www.CommonCoreSheets.com.
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Step-by-step solution for: Percent Worksheets | Free - Distance Learning, worksheets and more ...
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Show Answer Key & Explanations
Step-by-step solution for: Percent Worksheets | Free - Distance Learning, worksheets and more ...
To find what percent one number is of another, you divide the first number by the second number and then multiply by 100. The formula is:
$$ \text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 $$
Here are the step-by-step calculations for each problem, rounded to the nearest hundredth:
1) 25 is what percent of 29?
$25 \div 29 \approx 0.8620$
$0.8620 \times 100 = 86.20\%$
2) 28 is what percent of 62?
$28 \div 62 \approx 0.4516$
$0.4516 \times 100 = 45.16\%$
3) 26 is what percent of 53?
$26 \div 53 \approx 0.4905$
$0.4905 \times 100 = 49.05\%$ (round up because the next digit is 6)
4) 42 is what percent of 55?
$42 \div 55 \approx 0.7636$
$0.7636 \times 100 = 76.36\%$
5) 49 is what percent of 75?
$49 \div 75 \approx 0.6533$
$0.6533 \times 100 = 65.33\%$
6) 45 is what percent of 65?
$45 \div 65 \approx 0.6923$
$0.6923 \times 100 = 69.23\%$
7) 45 is what percent of 70?
$45 \div 70 \approx 0.6428$
$0.6428 \times 100 = 64.28\%$ (round up because the next digit is 5)
8) 22 is what percent of 71?
$22 \div 71 \approx 0.3098$
$0.3098 \times 100 = 30.98\%$
9) 29 is what percent of 78?
$29 \div 78 \approx 0.3717$
$0.3717 \times 100 = 37.17\%$ (round up because the next digit is 9)
10) 18 is what percent of 34?
$18 \div 34 \approx 0.5294$
$0.5294 \times 100 = 52.94\%$
11) 36 is what percent of 47?
$36 \div 47 \approx 0.7659$
$0.7659 \times 100 = 76.59\%$ (round up because the next digit is 5)
12) 14 is what percent of 85?
$14 \div 85 \approx 0.1647$
$0.1647 \times 100 = 16.47\%$
13) 39 is what percent of 61?
$39 \div 61 \approx 0.6393$
$0.6393 \times 100 = 63.93\%$ (round up because the next digit is 4... wait, $39/61 = 0.639344$. The third decimal is 9, fourth is 3. So it stays .6393? No, we look at the thousandths place to round the hundredths. $0.639...$ The digit in the hundredths place is 3. The digit to its right is 9. So we round up the 3 to a 4. Result: $63.93\%$? Let's re-calculate carefully.
$39 \div 61 = 0.639344...$
To round to nearest hundredth percent, we look at the third decimal place of the percentage? No, standard rounding:
Percentage is $63.9344...\%$
The hundredths place is the '3'. The digit to the right is '4'. Since 4 is less than 5, we keep the 3.
Answer: $63.93\%$
14) 16 is what percent of 76?
$16 \div 76 \approx 0.2105$
$0.2105 \times 100 = 21.05\%$ (round up because the next digit is 2... wait. $16/76 = 0.210526$. Percent is $21.0526\%$. Hundredths digit is 5. Next digit is 2. Keep the 5.
Answer: $21.05\%$
15) 31 is what percent of 48?
$31 \div 48 \approx 0.6458$
$0.6458 \times 100 = 64.58\%$ (round up because the next digit is 3... wait. $31/48 = 0.645833$. Percent is $64.5833\%$. Hundredths digit is 8. Next digit is 3. Keep the 8.
Answer: $64.58\%$
16) 48 is what percent of 78?
$48 \div 78 \approx 0.6153$
$0.6153 \times 100 = 61.53\%$ (round down because next digit is 8... wait. $48/78 = 0.61538$. Percent is $61.538\%$. Hundredths digit is 3. Next digit is 8. Round up the 3 to 4.
Answer: $61.54\%$
17) 27 is what percent of 48?
$27 \div 48 = 0.5625$
$0.5625 \times 100 = 56.25\%$
18) 32 is what percent of 77?
$32 \div 77 \approx 0.4155$
$0.4155 \times 100 = 41.55\%$ (round up because next digit is 8... wait. $32/77 = 0.41558$. Percent is $41.558\%$. Hundredths digit is 5. Next digit is 8. Round up the 5 to 6.
Answer: $41.56\%$
19) 19 is what percent of 55?
$19 \div 55 \approx 0.3454$
$0.3454 \times 100 = 34.54\%$ (round down because next digit is 5... wait. $19/55 = 0.345454$. Percent is $34.5454\%$. Hundredths digit is 4. Next digit is 5. Round up the 4 to 5.
Answer: $34.55\%$
20) 32 is what percent of 76?
$32 \div 76 \approx 0.4210$
$0.4210 \times 100 = 42.10\%$ (round down because next digit is 5... wait. $32/76 = 0.42105$. Percent is $42.105\%$. Hundredths digit is 0. Next digit is 5. Round up the 0 to 1.
Answer: $42.11\%$
Final Answer:
1. 86.20%
2. 45.16%
3. 49.05%
4. 76.36%
5. 65.33%
6. 69.23%
7. 64.28%
8. 30.98%
9. 37.17%
10. 52.94%
11. 76.59%
12. 16.47%
13. 63.93%
14. 21.05%
15. 64.58%
16. 61.54%
17. 56.25%
18. 41.56%
19. 34.55%
20. 42.11%
$$ \text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 $$
Here are the step-by-step calculations for each problem, rounded to the nearest hundredth:
1) 25 is what percent of 29?
$25 \div 29 \approx 0.8620$
$0.8620 \times 100 = 86.20\%$
2) 28 is what percent of 62?
$28 \div 62 \approx 0.4516$
$0.4516 \times 100 = 45.16\%$
3) 26 is what percent of 53?
$26 \div 53 \approx 0.4905$
$0.4905 \times 100 = 49.05\%$ (round up because the next digit is 6)
4) 42 is what percent of 55?
$42 \div 55 \approx 0.7636$
$0.7636 \times 100 = 76.36\%$
5) 49 is what percent of 75?
$49 \div 75 \approx 0.6533$
$0.6533 \times 100 = 65.33\%$
6) 45 is what percent of 65?
$45 \div 65 \approx 0.6923$
$0.6923 \times 100 = 69.23\%$
7) 45 is what percent of 70?
$45 \div 70 \approx 0.6428$
$0.6428 \times 100 = 64.28\%$ (round up because the next digit is 5)
8) 22 is what percent of 71?
$22 \div 71 \approx 0.3098$
$0.3098 \times 100 = 30.98\%$
9) 29 is what percent of 78?
$29 \div 78 \approx 0.3717$
$0.3717 \times 100 = 37.17\%$ (round up because the next digit is 9)
10) 18 is what percent of 34?
$18 \div 34 \approx 0.5294$
$0.5294 \times 100 = 52.94\%$
11) 36 is what percent of 47?
$36 \div 47 \approx 0.7659$
$0.7659 \times 100 = 76.59\%$ (round up because the next digit is 5)
12) 14 is what percent of 85?
$14 \div 85 \approx 0.1647$
$0.1647 \times 100 = 16.47\%$
13) 39 is what percent of 61?
$39 \div 61 \approx 0.6393$
$0.6393 \times 100 = 63.93\%$ (round up because the next digit is 4... wait, $39/61 = 0.639344$. The third decimal is 9, fourth is 3. So it stays .6393? No, we look at the thousandths place to round the hundredths. $0.639...$ The digit in the hundredths place is 3. The digit to its right is 9. So we round up the 3 to a 4. Result: $63.93\%$? Let's re-calculate carefully.
$39 \div 61 = 0.639344...$
To round to nearest hundredth percent, we look at the third decimal place of the percentage? No, standard rounding:
Percentage is $63.9344...\%$
The hundredths place is the '3'. The digit to the right is '4'. Since 4 is less than 5, we keep the 3.
Answer: $63.93\%$
14) 16 is what percent of 76?
$16 \div 76 \approx 0.2105$
$0.2105 \times 100 = 21.05\%$ (round up because the next digit is 2... wait. $16/76 = 0.210526$. Percent is $21.0526\%$. Hundredths digit is 5. Next digit is 2. Keep the 5.
Answer: $21.05\%$
15) 31 is what percent of 48?
$31 \div 48 \approx 0.6458$
$0.6458 \times 100 = 64.58\%$ (round up because the next digit is 3... wait. $31/48 = 0.645833$. Percent is $64.5833\%$. Hundredths digit is 8. Next digit is 3. Keep the 8.
Answer: $64.58\%$
16) 48 is what percent of 78?
$48 \div 78 \approx 0.6153$
$0.6153 \times 100 = 61.53\%$ (round down because next digit is 8... wait. $48/78 = 0.61538$. Percent is $61.538\%$. Hundredths digit is 3. Next digit is 8. Round up the 3 to 4.
Answer: $61.54\%$
17) 27 is what percent of 48?
$27 \div 48 = 0.5625$
$0.5625 \times 100 = 56.25\%$
18) 32 is what percent of 77?
$32 \div 77 \approx 0.4155$
$0.4155 \times 100 = 41.55\%$ (round up because next digit is 8... wait. $32/77 = 0.41558$. Percent is $41.558\%$. Hundredths digit is 5. Next digit is 8. Round up the 5 to 6.
Answer: $41.56\%$
19) 19 is what percent of 55?
$19 \div 55 \approx 0.3454$
$0.3454 \times 100 = 34.54\%$ (round down because next digit is 5... wait. $19/55 = 0.345454$. Percent is $34.5454\%$. Hundredths digit is 4. Next digit is 5. Round up the 4 to 5.
Answer: $34.55\%$
20) 32 is what percent of 76?
$32 \div 76 \approx 0.4210$
$0.4210 \times 100 = 42.10\%$ (round down because next digit is 5... wait. $32/76 = 0.42105$. Percent is $42.105\%$. Hundredths digit is 0. Next digit is 5. Round up the 0 to 1.
Answer: $42.11\%$
Final Answer:
1. 86.20%
2. 45.16%
3. 49.05%
4. 76.36%
5. 65.33%
6. 69.23%
7. 64.28%
8. 30.98%
9. 37.17%
10. 52.94%
11. 76.59%
12. 16.47%
13. 63.93%
14. 21.05%
15. 64.58%
16. 61.54%
17. 56.25%
18. 41.56%
19. 34.55%
20. 42.11%
Parent Tip: Review the logic above to help your child master the concept of finding percent of a number worksheet.