Convert decimals to percents

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 $0.375 = 37.5\%$ , with values greater than 1 producing percentages greater than 100%. This understanding includes place-value reasoning for terminating decimals and guards against confusing $0.25\%$ with $25\%$ ; repeating-decimal and more advanced generalized conversions are not included.

Detailed Explanation: Convert decimals to percents

A decimal can be converted to a percent by multiplying it by $100$ and writing the percent symbol. This works because a percent means “out of $100$ .”

Example: Convert $0.375$ to a percent

Step 1: Multiply by $100$ .

0.375 \times 100 = 37.5

Step 2: Write the percent symbol.

0.375 = 37.5\%

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

0.375 \longrightarrow 37.5

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

Be careful: $0.25$ is equal to $25\%$ , not $0.25\%$ . Multiplying by $100$ changes $0.25$ into $25$ .

Learn by doing: Convert decimals to percents

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Decimals to Percents - Standard

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