1. The problem states: 20% of the 75 hats are baseball caps. We need to find how many baseball caps there are. 2. To find a percentage of a quantity, use the formula: $$\text{Part} = \frac{\text{Percent}}{100} \times \text{Whole}$$ 3. Here, the percent is 20, and the whole is 75 hats. 4. Substitute the values: $$\text{Baseball caps} = \frac{20}{100} \times 75$$ 5. Simplify the fraction: $$\frac{20}{100} = \frac{\cancel{20}}{\cancel{100}} = \frac{1}{5}$$ 6. So, $$\text{Baseball caps} = \frac{1}{5} \times 75 = \frac{75}{5}$$ 7. Divide 75 by 5: $$\frac{75}{5} = 15$$ 8. Therefore, there are 15 baseball caps. Final answer: **15 baseball caps**.