1. The problem asks to find what percent of the years it snowed on New Year's Day, given it snowed 3 times in 60 years. 2. We want to find an equivalent ratio where the total years is 100, so we can express the part as a percentage. 3. The original ratio is $\frac{3}{60}$. 4. To find the equivalent ratio with 100 as the whole, set up the proportion: $$\frac{3}{60} = \frac{x}{100}$$ where $x$ is the number of snow days out of 100 years. 5. Cross-multiply to solve for $x$: $$3 \times 100 = 60 \times x$$ $$300 = 60x$$ 6. Divide both sides by 60 to isolate $x$: $$\frac{300}{\cancel{60}} = \frac{60x}{\cancel{60}}$$ $$5 = x$$ 7. So, the equivalent ratio is $\frac{5}{100}$, which means it snowed 5% of the years on New Year's Day. **Final answer:** It snowed on New Year's Day **5%** of the years.