Learn how to calculate and solve percent problems using the percent formula.

## Related Topics

- How to Find Percent of Increase and Decrease
- How to Find Discount, Tax, and Tip
- How to Do Percentage Calculations
- How to Solve Simple Interest Problems

## Step by step guide to solve percent problems

- In each percent problem, we are looking for the base, or part or the percent.
- Use the following equations to find each missing section.
**Base**\(= \color{black}{Part} \ ÷ \ \color{blue}{Percent}\)

\(\color{ black }{Part} = \color{blue}{Percent} \ ×\)**Base**

\(\color{blue}{Percent} = \color{ black }{Part} \ ÷\)**Base**

### Percent Problems – Example 1:

\(2.5\) is what percent of \(20\)?

**Solution**:

In this problem, we are looking for the percent. Use the following equation:

\(\color{blue}{Percent} = \color{ black }{Part} \ ÷\) **Base** \(→\) Percent \(=2.5 \ ÷ \ 20=0.125=12.5\%\)

### Percent Problems – Example 2:

\(40\) is \(10\%\) of what number?

**Solution:**

Use the following formula: **Base** \(= \color{ black }{Part} \ ÷ \ \color{blue}{Percent}\) \(→\) Base \(=40 \ ÷ \ 0.10=400\)

\(40 \ is \ 10\%\) of \(400\).

### Percent Problems – Example 3:

\(1.2\) is what percent of \(24\)?

**Solution:**

In this problem, we are looking for the percent. Use the following equation:

\(\color{blue}{Percent} = \color{ black }{Part} \ ÷\) **Base** \(→\) Percent \(=1.2÷24=0.05=5\%\)

### Percent Problems – Example 4:

\(20\) is \(5\%\) of what number?

**Solution:**

Use the following formula:**Base** \(= \color{black}{Part} \ ÷ \ \color{blue}{Percent}\) \(→\) Base \(=20÷0.05=400\)

\( 20\) is \(5\%\) of \(400\).

## Exercises for Calculating Percent Problems

### Solve each problem.

- \(51\) is \(340\%\) of what?
- \(93\%\) of what number is \(97\)?
- \(27\%\) of \(142\) is what number?
- What percent of \(125\) is \(29.3\)?
- \(60\) is what percent of \(126\)?
- \(67\) is \(67\%\) of what?

### Download Percent Problems Worksheet

## Answers

- \(\color{blue}{15}\)
- \(\color{blue}{104.3}\)
- \(\color{blue}{38.34}\)
- \(\color{blue}{23.44\%}\)
- \(\color{blue}{47.6\%}\)
- \(\color{blue}{100}\)