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Skill: Convert decimals to percents

Explanation and Free Practice Resources

A decimal represents a ratio to one, while a percent represents an equivalent ratio to 100; converting between them means multiplying the decimal by 100 and writing the percent symbol, as in 0.375=37.5%0.375 = 37.5\%, with values greater than 1 producing percentages greater than 100%. This understanding includes place-value reasoning for terminating decimals and guards against confusing 0.25%0.25\% with 25%25\%; repeating-decimal and more advanced generalized conversions are not included.

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Detailed Explanation: Convert decimals to percents

A decimal can be converted to a percent by multiplying it by 100100 and writing the percent symbol. This works because a percent means “out of 100100.”

Example: Convert 0.3750.375 to a percent

Step 1: Multiply by 100100.

0.375×100=37.50.375 \times 100 = 37.5

Step 2: Write the percent symbol.

0.375=37.5%0.375 = 37.5\%

You can also see this by moving the decimal point two places to the right:

0.375⟶37.50.375 \longrightarrow 37.5

So, 0.375=37.5%\boxed{0.375 = 37.5\%}.

Be careful: 0.250.25 is equal to 25%25\%, not 0.25%0.25\%. Multiplying by 100100 changes 0.250.25 into 2525.

Learn by doing: Convert decimals to percents

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    Decimals to Percents - Standard

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