Question

ws 4/a - percent word problems v.1
date
solve each problem.

1. 140 is 70% of what?
2. 144 is 40% of what?
3. what is 40% of 25?
4. 62 is 4% of what?
5. 15% of 50 is what?
6. what is 250% of 36?
7. what is 75% of 16?
8. 53 is 10% of what?
9. 70 is 8% of what?
10. what is 120% of 115?
11. 10 is what percent of 50?
12. 34 is what percent of 85?
13. 36 is what percent of 80?
14. what percent of 96 is 24?
15. what percent of 125 is 15?

Explanation:

Step1: Set up percent equation

For "A is P% of what?", use $X = \frac{A}{\frac{P}{100}}$
For "What is P% of A?", use $X = A \times \frac{P}{100}$
For "A is what percent of B?", use $P = \frac{A}{B} \times 100$

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Problem 1: 140 is 70% of what?

Step1: Apply unknown total formula

$X = \frac{140}{\frac{70}{100}}$

Step2: Simplify calculation

$X = 140 \times \frac{100}{70} = 200$

Problem 2: 144 is 40% of what?

Step1: Apply unknown total formula

$X = \frac{144}{\frac{40}{100}}$

Step2: Simplify calculation

$X = 144 \times \frac{100}{40} = 360$

Problem 3: What is 40% of 25?

Step1: Apply percentage of number formula

$X = 25 \times \frac{40}{100}$

Step2: Simplify calculation

$X = 25 \times 0.4 = 10$

Problem 4: 62 is 4% of what?

Step1: Apply unknown total formula

$X = \frac{62}{\frac{4}{100}}$

Step2: Simplify calculation

$X = 62 \times \frac{100}{4} = 1550$

Problem 5: 15% of 50 is what?

Step1: Apply percentage of number formula

$X = 50 \times \frac{15}{100}$

Step2: Simplify calculation

$X = 50 \times 0.15 = 7.5$

Problem 6: What is 250% of 36?

Step1: Apply percentage of number formula

$X = 36 \times \frac{250}{100}$

Step2: Simplify calculation

$X = 36 \times 2.5 = 90$

Problem 7: What is 75% of 16?

Step1: Apply percentage of number formula

$X = 16 \times \frac{75}{100}$

Step2: Simplify calculation

$X = 16 \times 0.75 = 12$

Problem 8: 53 is 10% of what?

Step1: Apply unknown total formula

$X = \frac{53}{\frac{10}{100}}$

Step2: Simplify calculation

$X = 53 \times \frac{100}{10} = 530$

Problem 9: 70 is 8% of what?

Step1: Apply unknown total formula

$X = \frac{70}{\frac{8}{100}}$

Step2: Simplify calculation

$X = 70 \times \frac{100}{8} = 875$

Problem 10: What is 120% of 115?

Step1: Apply percentage of number formula

$X = 115 \times \frac{120}{100}$

Step2: Simplify calculation

$X = 115 \times 1.2 = 138$

Problem 11: 10 is what percent of 50?

Step1: Apply percentage formula

$P = \frac{10}{50} \times 100$

Step2: Simplify calculation

$P = 0.2 \times 100 = 20\%$

Problem 12: 34 is what percent of 85?

Step1: Apply percentage formula

$P = \frac{34}{85} \times 100$

Step2: Simplify calculation

$P = 0.4 \times 100 = 40\%$

Problem 13: 36 is what percent of 80?

Step1: Apply percentage formula

$P = \frac{36}{80} \times 100$

Step2: Simplify calculation

$P = 0.45 \times 100 = 45\%$

Problem 14: What percent of 96 is 24?

Step1: Apply percentage formula

$P = \frac{24}{96} \times 100$

Step2: Simplify calculation

$P = 0.25 \times 100 = 25\%$

Problem 15: What percent of 125 is 15?

Step1: Apply percentage formula

$P = \frac{15}{125} \times 100$

Step2: Simplify calculation

$P = 0.12 \times 100 = 12\%$

Answer:

1. 200
2. 360
3. 10
4. 1550
5. 7.5
6. 90
7. 12
8. 530
9. 875
10. 138
11. 20%
12. 40%
13. 45%
14. 25%
15. 12%