1. **State the problem:** We want to find what percent 500 is more than 450. 2. **Formula:** The percent increase from a number $a$ to a number $b$ is given by: $$\text{Percent Increase} = \frac{b - a}{a} \times 100\%$$ 3. **Apply the formula:** Here, $a = 450$ and $b = 500$. 4. **Calculate the difference:** $$b - a = 500 - 450 = 50$$ 5. **Substitute into the formula:** $$\frac{50}{450} \times 100\%$$ 6. **Simplify the fraction:** $$\frac{50}{450} = \frac{\cancel{50}}{\cancel{450}} = \frac{1}{9}$$ 7. **Calculate the percentage:** $$\frac{1}{9} \times 100\% = \frac{100}{9}\% \approx 11.11\%$$ **Final answer:** 500 is approximately 11.11 percent more than 450.