Question

1. twenty percent of what number is 28?

Explanation:

Step1: Define the variable

Let the number be \( x \). We know that 20% of \( x \) is 28. Mathematically, 20% can be written as \( 0.2 \) or \( \frac{20}{100} \). So we can set up the equation: \( 0.2x = 28 \) (or \( \frac{20}{100}x = 28 \)).

Step2: Solve for \( x \)

To solve for \( x \), we divide both sides of the equation \( 0.2x = 28 \) by \( 0.2 \). So \( x=\frac{28}{0.2} \). Calculating \( \frac{28}{0.2} \), we can also think of it as \( 28\div0.2 \). Since dividing by 0.2 is the same as multiplying by 5 (because \( \frac{1}{0.2}=5 \)), we have \( 28\times5 = 140 \).

Answer:

The number is 140.