1. Let's start by stating the problem: We want to understand how to solve percent equations, which are equations involving percentages. 2. The general formula for percent problems is: $$\text{Part} = \text{Percent} \times \text{Whole}$$ where Percent is written as a decimal. 3. Important rule: To convert a percent to a decimal, divide by 100. For example, 25% becomes 0.25. 4. Example problem: Find 20% of 150. 5. Using the formula: $$\text{Part} = 0.20 \times 150$$ 6. Multiply: $$\text{Part} = 30$$ 7. So, 20% of 150 is 30. 8. Another example: If 45 is 30% of a number, find the number. 9. Let the number be $x$. Then: $$45 = 0.30 \times x$$ 10. To solve for $x$, divide both sides by 0.30: $$x = \frac{45}{0.30}$$ 11. Show cancelation: $$x = \frac{45}{\cancel{0.30}} \times \frac{\cancel{1}}{1}$$ 12. Calculate: $$x = 150$$ 13. So, the number is 150. 14. Summary: To solve percent equations, convert percent to decimal, then use multiplication or division to find the unknown.