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Understand a percentage

Learn one step at a time, with examples, practice and a place for your questions.

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Original introductory guide from OTWONO Labs. The diagram is illustrative, not a reported research result.

A grid of 100 squares with 25 mint squares. Twenty five divided by one hundred equals twenty five percent.
A grid of 100 squares with 25 mint squares. Twenty five divided by one hundred equals twenty five percent.

Read the picture

The grid contains 100 squares. Twenty five are mint colored. The mint part is 25 out of 100, so it represents 25 percent. The remaining 75 squares represent 75 percent.

Use the same rule with another total

A percentage expresses a fraction on a scale of 100. Divide the part by the whole, then multiply by 100. For 6 completed tasks out of 24, calculate 6 divided by 24 times 100, which equals 25 percent.

Check what belongs in the whole

If you count completed tasks, the denominator should include the tasks eligible for that comparison. Changing which tasks count can change the percentage even if the number completed stays the same.

Try it

You have reviewed 15 of 60 cards. What percentage have you reviewed? What percentage remains? Draw four equal groups to explain your answer.

Check your answer

15 divided by 60 is one quarter, or 25 percent. The remaining 45 cards are 75 percent. This tells you how many cards you reviewed, not how well you understand them.

Use the practice notebook or browse more articles.