Question

1. what percent of 120 is 30?

Explanation:

Step1: Set up the proportion

Let \( x \) be the percentage we want to find. We know that the formula for finding what percent one number is of another is \( \frac{\text{part}}{\text{whole}}=\frac{x}{100} \). Here, the part is 30 and the whole is 120, so we have \( \frac{30}{120}=\frac{x}{100} \).

Step2: Solve for \( x \)

First, simplify \( \frac{30}{120} \) to \( \frac{1}{4} \). Then we have \( \frac{1}{4}=\frac{x}{100} \). Cross - multiply: \( 4x = 100\times1 \), so \( 4x=100 \). Divide both sides by 4: \( x=\frac{100}{4}=25 \).

Answer:

25%