1. **State the problem:** We know 18 students named hockey as their favorite sport, which is 36% of the total students surveyed. We need to find the total number of students surveyed. 2. **Use the formula for percentage:** $$\text{Part} = \text{Percentage} \times \text{Total}$$ Here, Part = 18 (students who like hockey), Percentage = 36% = 0.36, and Total is what we want to find. 3. **Set up the equation:** $$18 = 0.36 \times \text{Total}$$ 4. **Solve for Total:** $$\text{Total} = \frac{18}{0.36}$$ 5. **Simplify the fraction:** $$\text{Total} = \frac{18}{0.36} = \frac{18}{\cancel{0.36}} \times \frac{\cancel{1}}{1} = 50$$ 6. **Interpretation:** The total number of students surveyed is 50. 7. **Check with ratios:** The ratio of hockey students to total students is $\frac{18}{50} = 0.36$ or 36%, which matches the given data. **Final answer:** The school surveyed **50** students.