1. \( 60 \% \) of what number is \( 45 ? \) A. 27 B. 30 C. 60 D. 75 E. 90

To solve for the number where \( 60\% \) equals \( 45 \), you can set up the equation: \( 0.6 \times x = 45 \). To find \( x \), divide both sides by \( 0.6 \): \[ x = \frac{45}{0.6} = 75. \] So, the answer is D. \( 75 \). To check your work, you can reverse the process: Calculate \( 60\% \) of \( 75 \) by multiplying \( 75 \) by \( 0.6 \), which does indeed give you \( 45 \). Great job verifying your solution! In math, percentages are just another way to represent parts of a whole, which makes calculations easier! They're super handy when dealing with discounts, taxes, or just about anything that involves fractions of a total. Understanding how to manipulate percentages can save you time and increase your efficiency in daily decisions.