Grade 9 Practice - Percent questions.pdf - RHHS - Math - Free Printable

To solve the problems in the provided worksheet, we will use the basic formula for percentages:

1. Finding a percentage of a number:
\[
\text{Percentage of a number} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Number}
\]

2. Finding what percentage one number is of another:
\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
\]

3. Finding the whole when a part and its percentage are given:
\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)}
\]

Let's solve each problem step by step.

---

Problem 1: 77 is 92% of what?

We need to find the whole when the part is 77 and the percentage is 92%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{77}{\left( \frac{92}{100} \right)} = \frac{77}{0.92} \approx 83.70
\]

Answer: \( \boxed{83.70} \)

---

Problem 2: What percent of 13 is 3?

We need to find the percentage when the part is 3 and the whole is 13.

\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 = \left( \frac{3}{13} \right) \times 100 \approx 23.08\%
\]

Answer: \( \boxed{23.08\%} \)

---

Problem 3: 24% of 55 is what?

We need to find the part when the whole is 55 and the percentage is 24%.

\[
\text{Part} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Whole} = \left( \frac{24}{100} \right) \times 55 = 0.24 \times 55 = 13.2
\]

Answer: \( \boxed{13.2} \)

---

Problem 4: 79% of what is 52?

We need to find the whole when the part is 52 and the percentage is 79%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{52}{\left( \frac{79}{100} \right)} = \frac{52}{0.79} \approx 65.82
\]

Answer: \( \boxed{65.82} \)

---

Problem 5: What percent of 22 is 14?

We need to find the percentage when the part is 14 and the whole is 22.

\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 = \left( \frac{14}{22} \right) \times 100 \approx 63.64\%
\]

Answer: \( \boxed{63.64\%} \)

---

Problem 6: 44% of 66 is what?

We need to find the part when the whole is 66 and the percentage is 44%.

\[
\text{Part} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Whole} = \left( \frac{44}{100} \right) \times 66 = 0.44 \times 66 = 29.04
\]

Answer: \( \boxed{29.04} \)

---

Problem 7: What percent of 72.1 is 36?

We need to find the percentage when the part is 36 and the whole is 72.1.

\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 = \left( \frac{36}{72.1} \right) \times 100 \approx 49.93\%
\]

Answer: \( \boxed{49.93\%} \)

---

Problem 8: What percent of 58 is 4?

We need to find the percentage when the part is 4 and the whole is 58.

\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 = \left( \frac{4}{58} \right) \times 100 \approx 6.90\%
\]

Answer: \( \boxed{6.90\%} \)

---

Problem 9: 43% of what is 17.9?

We need to find the whole when the part is 17.9 and the percentage is 43%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{17.9}{\left( \frac{43}{100} \right)} = \frac{17.9}{0.43} \approx 41.63
\]

Answer: \( \boxed{41.63} \)

---

Problem 10: What percent of 52 is 43?

We need to find the percentage when the part is 43 and the whole is 52.

\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 = \left( \frac{43}{52} \right) \times 100 \approx 82.69\%
\]

Answer: \( \boxed{82.69\%} \)

---

Problem 11: What is 90% of 198?

We need to find the part when the whole is 198 and the percentage is 90%.

\[
\text{Part} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Whole} = \left( \frac{90}{100} \right) \times 198 = 0.9 \times 198 = 178.2
\]

Answer: \( \boxed{178.2} \)

---

Problem 12: What is 28% of 62?

We need to find the part when the whole is 62 and the percentage is 28%.

\[
\text{Part} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Whole} = \left( \frac{28}{100} \right) \times 62 = 0.28 \times 62 = 17.36
\]

Answer: \( \boxed{17.36} \)

---

Problem 13: 80 is 15% of what?

We need to find the whole when the part is 80 and the percentage is 15%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{80}{\left( \frac{15}{100} \right)} = \frac{80}{0.15} \approx 533.33
\]

Answer: \( \boxed{533.33} \)

---

Problem 14: What is 70% of 25?

We need to find the part when the whole is 25 and the percentage is 70%.

\[
\text{Part} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Whole} = \left( \frac{70}{100} \right) \times 25 = 0.7 \times 25 = 17.5
\]

Answer: \( \boxed{17.5} \)

---

Problem 15: 360% of what is 101?

We need to find the whole when the part is 101 and the percentage is 360%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{101}{\left( \frac{360}{100} \right)} = \frac{101}{3.6} \approx 28.06
\]

Answer: \( \boxed{28.06} \)

---

Problem 16: What is 27% of 42?

We need to find the part when the whole is 42 and the percentage is 27%.

\[
\text{Part} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Whole} = \left( \frac{27}{100} \right) \times 42 = 0.27 \times 42 = 11.34
\]

Answer: \( \boxed{11.34} \)

---

Problem 17: 24% of what is 36?

We need to find the whole when the part is 36 and the percentage is 24%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{36}{\left( \frac{24}{100} \right)} = \frac{36}{0.24} = 150
\]

Answer: \( \boxed{150} \)

---

Problem 18: What percent of 55 is 187?

We need to find the percentage when the part is 187 and the whole is 55.

\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 = \left( \frac{187}{55} \right) \times 100 = 3.4 \times 100 = 340\%
\]

Answer: \( \boxed{340\%} \)

---

Problem 19: What is 15% of 200?

We need to find the part when the whole is 200 and the percentage is 15%.

\[
\text{Part} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Whole} = \left( \frac{15}{100} \right) \times 200 = 0.15 \times 200 = 30
\]

Answer: \( \boxed{30} \)

---

Problem 20: 80 is what percent of 146?

We need to find the percentage when the part is 80 and the whole is 146.

\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 = \left( \frac{80}{146} \right) \times 100 \approx 54.79\%
\]

Answer: \( \boxed{54.79\%} \)

---

Problem 21: 31% of what is 39?

We need to find the whole when the part is 39 and the percentage is 31%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{39}{\left( \frac{31}{100} \right)} = \frac{39}{0.31} \approx 125.81
\]

Answer: \( \boxed{125.81} \)

---

Problem 22: 160% of what is 153?

We need to find the whole when the part is 153 and the percentage is 160%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{153}{\left( \frac{160}{100} \right)} = \frac{153}{1.6} \approx 95.63
\]

Answer: \( \boxed{95.63} \)

---

Problem 23: 51 is 74% of what?

We need to find the whole when the part is 51 and the percentage is 74%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{51}{\left( \frac{74}{100} \right)} = \frac{51}{0.74} \approx 68.92
\]

Answer: \( \boxed{68.92} \)

---

Problem 24: 210% of what is 19?

We need to find the whole when the part is 19 and the percentage is 210%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{19}{\left( \frac{210}{100} \right)} = \frac{19}{2.1} \approx 9.05
\]

Answer: \( \boxed{9.05} \)

---

Problem 25: 1% of what is 57.3?

We need to find the whole when the part is 57.3 and the percentage is 1%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{57.3}{\left( \frac{1}{100} \right)} = \frac{57.3}{0.01} = 5730
\]

Answer: \( \boxed{5730} \)

---

Problem 26: 36% of what is 84?

We need to find the whole when the part is 84 and the percentage is 36%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{84}{\left( \frac{36}{100} \right)} = \frac{84}{0.36} \approx 233.33
\]

Answer: \( \boxed{233.33} \)

---

Problem 27: 118 is 170% of what?

We need to find the whole when the part is 118 and the percentage is 170%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{118}{\left( \frac{170}{100} \right)} = \frac{118}{1.7} \approx 69.41
\]

Answer: \( \boxed{69.41} \)

---

Problem 28: 1.1% of what is 127?

We need to find the whole when the part is 127 and the percentage is 1.1%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{127}{\left( \frac{1.1}{100} \right)} = \frac{127}{0.011} \approx 11545.45
\]

Answer: \( \boxed{11545.45} \)

---

Problem 29: 138 is 22% of what?

We need to find the whole when the part is 138 and the percentage is 22%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{138}{\left( \frac{22}{100} \right)} = \frac{138}{0.22} \approx 627.27
\]

Answer: \( \boxed{627.27} \)

---

Problem 30: 25% of what is 14?

We need to find the whole when the part is 14 and the percentage is 25%.

\[
\text{Whole} = \frac{\text{Part}}{\left( \frac{\text{Percentage}}{100} \right)} = \frac{14}{\left( \frac{25}{100} \right)} = \frac{14}{0.25} = 56
\]

Answer: \( \boxed{56} \)

---

Final Answer Summary

\[
\boxed{
\begin{aligned}
1. & \ 83.70 \\
2. & \ 23.08\% \\
3. & \ 13.2 \\
4. & \ 65.82 \\
5. & \ 63.64\% \\
6. & \ 29.04 \\
7. & \ 49.93\% \\
8. & \ 6.90\% \\
9. & \ 41.63 \\
10. & \ 82.69\% \\
11. & \ 178.2 \\
12. & \ 17.36 \\
13. & \ 533.33 \\
14. & \ 17.5 \\
15. & \ 28.06 \\
16. & \ 11.34 \\
17. & \ 150 \\
18. & \ 340\% \\
19. & \ 30 \\
20. & \ 54.79\% \\
21. & \ 125.81 \\
22. & \ 95.63 \\
23. & \ 68.92 \\
24. & \ 9.05 \\
25. & \ 5730 \\
26. & \ 233.33 \\
27. & \ 69.41 \\
28. & \ 11545.45 \\
29. & \ 627.27 \\
30. & \ 56 \\
\end{aligned}
}
\]