**Solving Percent Problems Using Proportions**

Recall that percent means part of 100, so a percent can be written as a ratio using 100 as the denominator of the fraction. For example, 43% can be written as . Also, recall that a percent problem has a base, B, a part, P, and a ratio (percent) R, so a proportion can be set up for each type of percent problem as:

**Examples**

**Example 1**

Find 32% of 48.

**Solution 1**

**Example 2**

What percent of 60 is 45?

**Solution 2**

R = 75, so the rate is 75%.

**Example 3**

22% of what number is 17.6?

**Solution 3**

**Solving Percent Problems Using Proportions Practice Problems**

**Practice**

Solve each percent problem by using a proportion.

1. Find 54% of 80.

2. 6 is what percent of 25?

3. 25% of what number is 64?

4. 24 is what percent of 120?

5. Find 92% of 450.

6. 42% of what number is 35.28?

7. 15 is what percent of 60?

8. Find 36% of 72.

9. 18% of what number is 10.08?

10. 12 is what percent of 30?

**Answers**

1. 43.2

2. 24%

3. 256

4. 20%

5. 414

6. 84

7. 25%

8. 25.92

9. 56

10. 40%

Practice problems for this concept can be found at: Ratios and Proportions Practice Test.

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