To solve this problem, we need to determine what percentage 52 is of 642.8. Here's how to find the percentage step-by-step:

### Step-by-Step Solution

1. **Identify the given values:**
   - The total value is 642.8.
   - We want to find out what percentage 52 is of 642.8.

2. **Set up the percentage formula:**
   \[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Total}} \right) \times 100
\]

   In this case:
   \[
\text{Percentage} = \left( \frac{52}{642.8} \right) \times 100
\]

3. **Perform the calculation:**
   \[
\text{Percentage} = \left( \frac{52}{642.8} \right) \times 100
\]

4. **Simplify the fraction and multiply by 100:**
   \[
\text{Percentage} = \left( 0.080889243 \right) \times 100
\]
   \[
\text{Percentage} \approx 8.0889243
\]

5. **Round to two decimal places if necessary:**
   \[
\text{Percentage} \approx 8.09
\]

### Conclusion

52 is approximately **8.09%** of 642.8.

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Would you like more details on this calculation, or do you have any other questions?

### Relative Questions:

1. How do you find the percentage increase or decrease between two numbers?
2. What is the formula to convert a decimal to a percentage?
3. How do you calculate the percentage of a total when multiple parts are involved?
4. How can you find the total when a part and its percentage are given?
5. How do percentage changes affect compound calculations like interest rates?

**Tip:** When dealing with percentages, double-check your calculations by verifying that the part divided by the total and then multiplied by 100 gives a reasonable result.

Learn how to calculate the percentage of 52 out of 642.8 with a detailed step-by-step solution. This problem covers percentage calculations and fraction operations. Suitable for students in Grades 7-9.

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