How to Solve Percent Problems

How to Solve Percent Problems

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

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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

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Answers

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

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