How to Solve Percent Problems? (+FREE Worksheet!)

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.

1. \(51\) is \(340\%\) of what?
2. \(93\%\) of what number is \(97\)?
3. \(27\%\) of \(142\) is what number?
4. What percent of \(125\) is \(29.3\)?
5. \(60\) is what percent of \(126\)?
6. \(67\) is \(67\%\) of what?

Download Percent Problems Worksheet

Answers

1. \(\color{blue}{15}\)
2. \(\color{blue}{104.3}\)
3. \(\color{blue}{38.34}\)
4. \(\color{blue}{23.44\%}\)
5. \(\color{blue}{47.6\%}\)
6. \(\color{blue}{100}\)