1. **State the problem:** Vista pickleball team needs to win 3 out of 15 games. We want to find what percent this represents, which means finding an equivalent ratio with a denominator of 100. 2. **Formula:** To convert a ratio to a percent, use the proportion: $$\frac{\text{part}}{\text{whole}} = \frac{x}{100}$$ where $x$ is the percent we want to find. 3. **Set up the proportion:** $$\frac{3}{15} = \frac{x}{100}$$ 4. **Solve for $x$ by cross-multiplying:** $$3 \times 100 = 15 \times x$$ $$300 = 15x$$ 5. **Divide both sides by 15 to isolate $x$:** $$\cancel{15}x = \frac{300}{\cancel{15}}$$ $$x = 20$$ 6. **Interpretation:** The team wins 20 out of 100 games, which means they win 20% of the games. **Final answer:** The team wins **20%** of the games.