Question

percent word problems
solve each problem.

1. what percent of 126 is 22?
2. 81 is 56% of what?
3. 25.7 is what percent of 141?
4. 17% of what is 156?
5. 46 is what percent of 107?
6. 79.9 is 99% of what?
7. 62% of what is 89.3?
8. what percent of 137.4 is 96?
9. 30% of 117 is what?
10. 11 is what percent of 97?
11. 120% of 118 is what?
12. 25 is what percent of 37?
13. what is 270% of 60?
14. 73% of what is 156.4?
15. 87% of 41 is what?
16. 9 is what percent of 84?
17. what percent of 88.6 is 70?
18. what percent of 137 is 86?

Explanation:

Step1: Solve for percentage (Q1)

Use $\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100\%$
$\text{Percent} = \frac{22}{126} \times 100\% \approx 17.46\%$

Step2: Solve for whole (Q2)

Use $\text{Whole} = \frac{\text{Part}}{\text{Percent}}$
$\text{Whole} = \frac{81}{0.56} \approx 144.64$

Step3: Solve for percentage (Q3)

Use $\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100\%$
$\text{Percent} = \frac{25.7}{141} \times 100\% \approx 18.23\%$

Step4: Solve for whole (Q4)

Use $\text{Whole} = \frac{\text{Part}}{\text{Percent}}$
$\text{Whole} = \frac{156}{0.17} \approx 917.65$

Step5: Solve for percentage (Q5)

Use $\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100\%$
$\text{Percent} = \frac{46}{107} \times 100\% \approx 42.99\%$

Step6: Solve for whole (Q6)

Use $\text{Whole} = \frac{\text{Part}}{\text{Percent}}$
$\text{Whole} = \frac{79.9}{0.99} \approx 80.71$

Step7: Solve for whole (Q7)

Use $\text{Whole} = \frac{\text{Part}}{\text{Percent}}$
$\text{Whole} = \frac{89.3}{0.62} \approx 144.03$

Step8: Solve for percentage (Q8)

Use $\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100\%$
$\text{Percent} = \frac{96}{137.4} \times 100\% \approx 70.0\%$

Step9: Solve for part (Q9)

Use $\text{Part} = \text{Whole} \times \text{Percent}$
$\text{Part} = 117 \times 0.30 = 35.1$

Step10: Solve for percentage (Q10)

Use $\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100\%$
$\text{Percent} = \frac{11}{97} \times 100\% \approx 11.34\%$

Step11: Solve for part (Q11)

Use $\text{Part} = \text{Whole} \times \text{Percent}$
$\text{Part} = 118 \times 1.20 = 141.6$

Step12: Solve for percentage (Q12)

Use $\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100\%$
$\text{Percent} = \frac{25}{37} \times 100\% \approx 67.57\%$

Step13: Solve for part (Q13)

Use $\text{Part} = \text{Whole} \times \text{Percent}$
$\text{Part} = 60 \times 2.70 = 162$

Step14: Solve for whole (Q14)

Use $\text{Whole} = \frac{\text{Part}}{\text{Percent}}$
$\text{Whole} = \frac{156.4}{0.73} \approx 214.25$

Step15: Solve for part (Q15)

Use $\text{Part} = \text{Whole} \times \text{Percent}$
$\text{Part} = 41 \times 0.87 = 35.67$

Step16: Solve for percentage (Q16)

Use $\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100\%$
$\text{Percent} = \frac{9}{84} \times 100\% \approx 10.71\%$

Step17: Solve for percentage (Q17)

Use $\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100\%$
$\text{Percent} = \frac{70}{88.6} \times 100\% \approx 79.01\%$

Step18: Solve for percentage (Q18)

Use $\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100\%$
$\text{Percent} = \frac{86}{137} \times 100\% \approx 62.77\%$

Answer:

1. $\approx 17.46\%$
2. $\approx 144.64$
3. $\approx 18.23\%$
4. $\approx 917.65$
5. $\approx 42.99\%$
6. $\approx 80.71$
7. $\approx 144.03$
8. $\approx 70.0\%$
9. $35.1$
10. $\approx 11.34\%$
11. $141.6$
12. $\approx 67.57\%$
13. $162$
14. $\approx 214.25$
15. $35.67$
16. $\approx 10.71\%$
17. $\approx 79.01\%$
18. $\approx 62.77\%$