1. The problem is to understand and work with percentages, which represent parts per hundred. 2. The formula to convert a percentage to a decimal is: $$\text{Decimal} = \frac{\text{Percentage}}{100}$$ 3. Important rules: - To find a percentage of a number, multiply the number by the decimal equivalent of the percentage. - To convert a decimal back to a percentage, multiply by 100. 4. For example, to convert 37.5% to a decimal: $$\frac{37.5}{100} = 0.375$$ 5. To find 37.5% of 200, multiply: $$200 \times 0.375 = 75$$ 6. To convert 0.585938 back to a percentage: $$0.585938 \times 100 = 58.5938\%$$ 7. These steps apply to all the percentages listed, converting between percentage and decimal forms as needed for calculations. 8. Understanding these conversions helps in solving problems involving percentages, such as discounts, interest rates, and data analysis.