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