18. Kira studied data collected on the school basketball team for one season. She noticed that a player on the team had 13 successful free throws out of a total of 20 attempted free throws.

To find the percentage of the total free throws attempted by this player that were successful, Kira set up the equivalent ratios below:

\[ \frac{13}{20} = \frac{m}{100} \]

Solve for \( m \) to find the percentage.

Sure! Let's solve this step-by-step.

Firstly, we want to find the percentage of successful free throws out of the total attempted free throws.

1. Identify the number of successful free throws:
- The player made 13 successful free throws.

2. Identify the total number of attempted free throws:
- The player attempted 20 free throws in total.

3. To find the percentage, we use the formula:
[tex]\[
\text{Percentage} = \left( \frac{\text{successful free throws}}{\text{total attempted free throws}} \right) \times 100
\][/tex]

4. Plug in the values from steps 1 and 2 into the formula:
[tex]\[
\text{Percentage} = \left( \frac{13}{20} \right) \times 100
\][/tex]

5. Perform the division inside the parentheses first:
[tex]\[
\frac{13}{20} = 0.65
\][/tex]

6. Then, multiply the result by 100 to convert it to a percentage:
[tex]\[
0.65 \times 100 = 65.0
\][/tex]

So, the percentage of successful free throws is [tex]\(65.0\%\)[/tex].