Subjects algebra

Percent Equations 066665

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1. The problem involves solving percent equations using the formula: $$\text{Part} = \text{Percent (as decimal)} \times \text{Whole}$$. 2. To find the part when given a percent and whole, convert the percent to a decimal by dividing by 100, then multiply by the whole. 3. To find the whole when given a part and percent, rearrange the formula to $$\text{Whole} = \frac{\text{Part}}{\text{Percent (as decimal)}}$$. 4. Example: If 20% of a number is 50, find the number. 5. Convert 20% to decimal: $$20\% = \frac{20}{100} = 0.20$$. 6. Use the formula for whole: $$\text{Whole} = \frac{\text{Part}}{\text{Percent}} = \frac{50}{0.20}$$. 7. Simplify: $$\frac{50}{0.20} = 250$$. 8. Therefore, the whole number is 250. This method applies to all percent problems by identifying the part, percent, and whole, then using the formula accordingly.