Answer :

Sure! Let's solve each part step by step.

### Part (a): What is 32.5% of 38.4?

1. Understand the problem: We need to find 32.5% of 38.4.
2. Convert the percentage to a decimal: To convert 32.5% to a decimal, divide it by 100. So, 32.5% becomes 0.325.
3. Multiply the decimal by the number: Now, multiply the decimal by the number 38.4 to find 32.5% of 38.4.

[tex]\[
0.325 \times 38.4 = 12.48
\][/tex]

So, 32.5% of 38.4 is 12.48.

### Part (b): 82.53 is 315% of what number?

1. Understand the problem: We need to find the number for which 82.53 is 315%.
2. Convert the percentage to a decimal: To convert 315% to a decimal, divide it by 100. So, 315% becomes 3.15.
3. Find the original number: Since 82.53 is 315% of some number, we can represent that as:

[tex]\[
\text{Original number} = \frac{82.53}{3.15}
\][/tex]

4. Calculate the original number:

[tex]\[
\frac{82.53}{3.15} = 26.20
\][/tex]

So, 82.53 is 315% of 26.20.

Therefore, the solutions are:
- 32.5% of 38.4 is 12.48.
- 82.53 is 315% of 26.20.

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