Question: What is $21.5\%$ smaller than $62$?
1. **State the problem:** We need to find a number that is $21.5\%$ smaller than $62$.
2. **Formula:** To find a percentage decrease, use the formula:
$$\text{New value} = \text{Original value} - \left(\frac{\text{Percentage}}{100} \times \text{Original value}\right)$$
3. **Calculate the decrease:**
$$\frac{21.5}{100} \times 62 = 0.215 \times 62 = 13.33$$
4. **Subtract the decrease from the original value:**
$$62 - 13.33 = 48.67$$
5. **Answer:** The number that is $21.5\%$ smaller than $62$ is $48.67$.