How to Do Percentage Calculations? (+FREE Worksheet!)
Want to find a percent of a number? You can calculate percentages in a few simple and easy steps.
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Step by step guide to solving percentage problems
- Percent is a ratio of a number and \(100\). It always has the same denominator, \(100\). The percent symbol is \(\%\).
- Percent is another way to write decimals or fractions. For example:
\(40\%=0.40=\frac{40}{100}=\frac{2}{5}\) - Use the following formula to find part, whole, or percent:
\(\color{blue}{part =\frac{percent}{100} \ × \ whole }\)
For education statistics and research National Center for Education Statistics.
Percentage Calculations – Example 1:
What is \(15\%\) of \(50\)?
Solution:
Use the this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).
\(part\) \(=\frac{15}{100} \ × \ 50 →\) \(part\) \(=\frac{15 \ × \ 50}{100}→\) \(part\) \(=\frac{75}{10}→\) \(part\) \(=7.5 \)
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Percentage Calculations – Example 2:
What is \(30\%\) of \(35\)?
Solution:
Use the this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).
\(part\) \(=\frac{30}{100} \ × \ 35 →\) \(part\) \(=\frac{30 \ × \ 35}{100}→\) \(part\) \(=\frac{105}{10}→\) \(part\) \(=10.5 \)
Percentage Calculations – Example 3:
What is \(10\%\) of \(45\)?
Solution:
Use the this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).
\(part\) \(=\frac{10}{100}×45 →part\)\(=\frac{1}{10}×45\)→\(part\) \(=\frac{45}{10}→\) \(part\) \(=4.5\)
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Percentage Calculations – Example 4:
What is \(15\%\) of \(24\)?
Solution:
Use the percent formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).
\(part\) \(=\frac{15}{100}×24 →\) \(part\) \(=\frac{15 \ × \ 24}{100}\)→ \(part\) \(=\frac{360}{100} →\) \(part\) \(=3.6 \)
Exercises for Doing Percentage Calculations
Calculate the percentages.
- \(\color{blue}{50\% \ of \ 25}\)
- \(\color{blue}{ 80\% \ of \ 15 }\)
- \(\color{blue}{ 30\% \ of \ 34 }\)
- \(\color{blue}{ 70\% \ of \ 45 }\)
- \(\color{blue}{ 10\% \ of \ 0 }\)
- \(\color{blue}{ 80\% \ of \ 22 }\)
Download Percentage Calculations Worksheet
- \(\color{blue}{12.5}\)
- \(\color{blue}{12}\)
- \(\color{blue}{10.2}\)
- \(\color{blue}{31.5}\)
- \(\color{blue}{0}\)
- \(\color{blue}{17.6}\)
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