1. **State the problem:** We want to find how much bigger 500 is compared to 450, expressed as a percentage. 2. **Understand the idea:** To find how much bigger one number is than another, we look at the difference between them and then see what fraction of the original number that difference represents. 3. **Find the difference:** Subtract 450 from 500 to see how much more 500 is. $$500 - 450 = 50$$ 4. **Compare the difference to the original number:** We want to see what part of 450 the difference 50 is. 5. **Divide the difference by the original number:** $$\frac{50}{450}$$ 6. **Simplify the fraction:** $$\frac{50}{450} = \frac{\cancel{50}}{\cancel{450}} = \frac{1}{9}$$ 7. **Convert the fraction to a percentage:** Since 1 whole is 100%, 1/9 is about 11.11%. 8. **Final answer:** 500 is about 11.11 percent more than 450, meaning 500 is a little more than 11% bigger than 450.