Question

in the problems below, youve given the part and the percent. can you find the whole?
35 is 50% of what number?
6 is 15% of what number?
13 is 5% of what number?
16 is 40% of what number?
24 is 80% of what number?
24 is 75% of what number?
12 is 48% of what number?
36 is 9% of what number?
6 is 3.2% of what number?
5 is 0.4% of what number?
42 is 120% of what number?
108 is 180% of what number?

Explanation:

Let's solve each problem one by one using the formula: If \( \text{Part} = \text{Percentage} \times \text{Whole} \), then \( \text{Whole} = \frac{\text{Part}}{\text{Percentage (in decimal)}} \)

1. \( 35 \) is \( 50\% \) of what number?

Step 1: Convert percentage to decimal

\( 50\% = 0.5 \)

Step 2: Use the formula

\( \text{Whole} = \frac{35}{0.5} = 70 \)

Answer:

\( 70 \)

2. \( 6 \) is \( 15\% \) of what number?

Step 1: Convert percentage to decimal

\( 15\% = 0.15 \)

Step 2: Use the formula

\( \text{Whole} = \frac{6}{0.15} = 40 \)