Math worksheet for practicing percentage calculations.
A math worksheet titled "Find the Part, Whole or Percent" with 20 questions asking students to calculate percentages, parts, or wholes, including blank lines for answers.
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Show Answer Key & Explanations
Step-by-step solution for: PERCENT NOTES, REFERENCE & PRACTICE WORKSHEETS- PROPORTION
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Show Answer Key & Explanations
Step-by-step solution for: PERCENT NOTES, REFERENCE & PRACTICE WORKSHEETS- PROPORTION
The image contains a worksheet titled "Find the Part, Whole, or Percent." The task involves solving problems related to percentages. Below is a detailed explanation of how to solve each type of problem:
1. Part = Percent × Whole
2. Percent = (Part / Whole) × 100
3. Whole = Part / Percent
- Finding the Part: Given the Percent and Whole, find the Part.
- Finding the Percent: Given the Part and Whole, find the Percent.
- Finding the Whole: Given the Part and Percent, find the Whole.
#### 1. What is 20% of 80?
- Formula: Part = Percent × Whole
- Calculation: \( 20\% \times 80 = 0.20 \times 80 = 16 \)
- Answer: 16
#### 2. 12 is 75% of what number?
- Formula: Whole = Part / Percent
- Calculation: \( 12 / 0.75 = 16 \)
- Answer: 16
#### 3. 6 is what percent of 8?
- Formula: Percent = (Part / Whole) × 100
- Calculation: \( (6 / 8) \times 100 = 0.75 \times 100 = 75\% \)
- Answer: 75%
#### 4. 8 is 40% of what number?
- Formula: Whole = Part / Percent
- Calculation: \( 8 / 0.40 = 20 \)
- Answer: 20
#### 5. 13.5% of what number is 24?
- Formula: Whole = Part / Percent
- Calculation: \( 24 / 0.135 = 178.18 \) (approximately)
- Answer: 178.18
#### 6. What is 312 of 400?
- Formula: Part = Percent × Whole
- Calculation: \( 312 / 400 = 0.78 \times 100 = 78\% \)
- Answer: 78%
#### 7. What is 72% of 32?
- Formula: Part = Percent × Whole
- Calculation: \( 0.72 \times 32 = 23.04 \)
- Answer: 23.04
#### 8. 12 is 50% of what number?
- Formula: Whole = Part / Percent
- Calculation: \( 12 / 0.50 = 24 \)
- Answer: 24
#### 9. What is 87.5% of 150?
- Formula: Part = Percent × Whole
- Calculation: \( 0.875 \times 150 = 131.25 \)
- Answer: 131.25
#### 10. 25 is what percent of 100?
- Formula: Percent = (Part / Whole) × 100
- Calculation: \( (25 / 100) \times 100 = 25\% \)
- Answer: 25%
#### 11. 60 is 45% of what number?
- Formula: Whole = Part / Percent
- Calculation: \( 60 / 0.45 = 133.33 \) (approximately)
- Answer: 133.33
#### 12. 13 is what percent of 200?
- Formula: Percent = (Part / Whole) × 100
- Calculation: \( (13 / 200) \times 100 = 6.5\% \)
- Answer: 6.5%
#### 13. 3500 is what percent of 13500?
- Formula: Percent = (Part / Whole) × 100
- Calculation: \( (3500 / 13500) \times 100 = 25.93\% \) (approximately)
- Answer: 25.93%
#### 14. 8 is 17.5% of what number?
- Formula: Whole = Part / Percent
- Calculation: \( 8 / 0.175 = 45.71 \) (approximately)
- Answer: 45.71
#### 15. What is 0.5% of 30?
- Formula: Part = Percent × Whole
- Calculation: \( 0.005 \times 30 = 0.15 \)
- Answer: 0.15
#### 16. 15 is what percent of 40?
- Formula: Percent = (Part / Whole) × 100
- Calculation: \( (15 / 40) \times 100 = 37.5\% \)
- Answer: 37.5%
#### 17. What percent of 60 is 75?
- Formula: Percent = (Part / Whole) × 100
- Calculation: \( (75 / 60) \times 100 = 125\% \)
- Answer: 125%
#### 18. 45 is 80% of what number?
- Formula: Whole = Part / Percent
- Calculation: \( 45 / 0.80 = 56.25 \)
- Answer: 56.25
#### 19. What is 150% of 30?
- Formula: Part = Percent × Whole
- Calculation: \( 1.50 \times 30 = 45 \)
- Answer: 45
#### 20. What is 41% of 325?
- Formula: Part = Percent × Whole
- Calculation: \( 0.41 \times 325 = 133.25 \)
- Answer: 133.25
1. 16
2. 16
3. 75%
4. 20
5. 178.18
6. 78%
7. 23.04
8. 24
9. 131.25
10. 25%
11. 133.33
12. 6.5%
13. 25.93%
14. 45.71
15. 0.15
16. 37.5%
17. 125%
18. 56.25
19. 45
20. 133.25
Final Answer:
\boxed{16, 16, 75\%, 20, 178.18, 78\%, 23.04, 24, 131.25, 25\%, 133.33, 6.5\%, 25.93\%, 45.71, 0.15, 37.5\%, 125\%, 56.25, 45, 133.25}
General Formulas:
1. Part = Percent × Whole
2. Percent = (Part / Whole) × 100
3. Whole = Part / Percent
Problem Types:
- Finding the Part: Given the Percent and Whole, find the Part.
- Finding the Percent: Given the Part and Whole, find the Percent.
- Finding the Whole: Given the Part and Percent, find the Whole.
Step-by-Step Solutions:
#### 1. What is 20% of 80?
- Formula: Part = Percent × Whole
- Calculation: \( 20\% \times 80 = 0.20 \times 80 = 16 \)
- Answer: 16
#### 2. 12 is 75% of what number?
- Formula: Whole = Part / Percent
- Calculation: \( 12 / 0.75 = 16 \)
- Answer: 16
#### 3. 6 is what percent of 8?
- Formula: Percent = (Part / Whole) × 100
- Calculation: \( (6 / 8) \times 100 = 0.75 \times 100 = 75\% \)
- Answer: 75%
#### 4. 8 is 40% of what number?
- Formula: Whole = Part / Percent
- Calculation: \( 8 / 0.40 = 20 \)
- Answer: 20
#### 5. 13.5% of what number is 24?
- Formula: Whole = Part / Percent
- Calculation: \( 24 / 0.135 = 178.18 \) (approximately)
- Answer: 178.18
#### 6. What is 312 of 400?
- Formula: Part = Percent × Whole
- Calculation: \( 312 / 400 = 0.78 \times 100 = 78\% \)
- Answer: 78%
#### 7. What is 72% of 32?
- Formula: Part = Percent × Whole
- Calculation: \( 0.72 \times 32 = 23.04 \)
- Answer: 23.04
#### 8. 12 is 50% of what number?
- Formula: Whole = Part / Percent
- Calculation: \( 12 / 0.50 = 24 \)
- Answer: 24
#### 9. What is 87.5% of 150?
- Formula: Part = Percent × Whole
- Calculation: \( 0.875 \times 150 = 131.25 \)
- Answer: 131.25
#### 10. 25 is what percent of 100?
- Formula: Percent = (Part / Whole) × 100
- Calculation: \( (25 / 100) \times 100 = 25\% \)
- Answer: 25%
#### 11. 60 is 45% of what number?
- Formula: Whole = Part / Percent
- Calculation: \( 60 / 0.45 = 133.33 \) (approximately)
- Answer: 133.33
#### 12. 13 is what percent of 200?
- Formula: Percent = (Part / Whole) × 100
- Calculation: \( (13 / 200) \times 100 = 6.5\% \)
- Answer: 6.5%
#### 13. 3500 is what percent of 13500?
- Formula: Percent = (Part / Whole) × 100
- Calculation: \( (3500 / 13500) \times 100 = 25.93\% \) (approximately)
- Answer: 25.93%
#### 14. 8 is 17.5% of what number?
- Formula: Whole = Part / Percent
- Calculation: \( 8 / 0.175 = 45.71 \) (approximately)
- Answer: 45.71
#### 15. What is 0.5% of 30?
- Formula: Part = Percent × Whole
- Calculation: \( 0.005 \times 30 = 0.15 \)
- Answer: 0.15
#### 16. 15 is what percent of 40?
- Formula: Percent = (Part / Whole) × 100
- Calculation: \( (15 / 40) \times 100 = 37.5\% \)
- Answer: 37.5%
#### 17. What percent of 60 is 75?
- Formula: Percent = (Part / Whole) × 100
- Calculation: \( (75 / 60) \times 100 = 125\% \)
- Answer: 125%
#### 18. 45 is 80% of what number?
- Formula: Whole = Part / Percent
- Calculation: \( 45 / 0.80 = 56.25 \)
- Answer: 56.25
#### 19. What is 150% of 30?
- Formula: Part = Percent × Whole
- Calculation: \( 1.50 \times 30 = 45 \)
- Answer: 45
#### 20. What is 41% of 325?
- Formula: Part = Percent × Whole
- Calculation: \( 0.41 \times 325 = 133.25 \)
- Answer: 133.25
Final Answers:
1. 16
2. 16
3. 75%
4. 20
5. 178.18
6. 78%
7. 23.04
8. 24
9. 131.25
10. 25%
11. 133.33
12. 6.5%
13. 25.93%
14. 45.71
15. 0.15
16. 37.5%
17. 125%
18. 56.25
19. 45
20. 133.25
Final Answer:
\boxed{16, 16, 75\%, 20, 178.18, 78\%, 23.04, 24, 131.25, 25\%, 133.33, 6.5\%, 25.93\%, 45.71, 0.15, 37.5\%, 125\%, 56.25, 45, 133.25}
Parent Tip: Review the logic above to help your child master the concept of finding the whole given a part and a percent worksheet.