1. The problem involves finding the missing values in percentage problems. 2. For the first problem, we know 5% of some number equals 79.8. We use the formula for percentage: $$\text{Part} = \frac{\text{Percent}}{100} \times \text{Whole}$$ Here, Part = 79.8, Percent = 5, and Whole is unknown. 3. Substitute the known values: $$79.8 = \frac{5}{100} \times \text{Whole}$$ 4. To find Whole, divide both sides by $\frac{5}{100}$: $$\text{Whole} = \frac{79.8}{\frac{5}{100}}$$ 5. Simplify the division by multiplying by the reciprocal: $$\text{Whole} = 79.8 \times \frac{100}{5}$$ 6. Calculate: $$\text{Whole} = 79.8 \times 20 = 1596$$ 7. For the second problem, 25% of some number equals 50. We want to find the missing value (the whole). 8. Using the same formula: $$50 = \frac{25}{100} \times \text{Whole}$$ 9. Divide both sides by $\frac{25}{100}$: $$\text{Whole} = \frac{50}{\frac{25}{100}}$$ 10. Simplify by multiplying by the reciprocal: $$\text{Whole} = 50 \times \frac{100}{25}$$ 11. Calculate: $$\text{Whole} = 50 \times 4 = 200$$ Final answers: - First problem: Whole = 1596 - Second problem: Whole = 200