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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.

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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Show Answer Key & Explanations Step-by-step solution for: Percent Worksheets | Free - Distance Learning, worksheets and more ...
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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%
Parent Tip: Review the logic above to help your child master the concept of finding percent of a number worksheet.
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