1. **State the problem:** We need to find the percentage of women in a cycling club with 1254 members, where 342 are women. 2. **Formula:** The percentage of women is given by $$\text{Percentage of women} = \left(\frac{\text{Number of women}}{\text{Total members}}\right) \times 100$$ 3. **Substitute values:** $$\text{Percentage of women} = \left(\frac{342}{1254}\right) \times 100$$ 4. **Simplify the fraction:** $$\frac{342}{1254} = \frac{\cancel{342}}{\cancel{1254}} = \frac{57}{209}$$ 5. **Calculate the decimal:** $$\frac{57}{209} \approx 0.2727$$ 6. **Calculate the percentage:** $$0.2727 \times 100 = 27.27\%$$ **Final answer:** The percentage of women in the cycling club is approximately **27.27%**.