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Convert percents to decimals

A percent is a rate per 100, so converting it to a decimal means expressing the same quantity in base-ten notation by dividing by 100, or moving the decimal point two places left and retaining zeros as needed (for example, 45%=0.4545\%=0.45, 7%=0.077\%=0.07, and 125%=1.25125\%=1.25). This connects percent, hundredths, and decimal place value for comparing quantities and solving proportional problems; the scope is exact, familiar terminating values rather than repeating decimals or more advanced generalized cases.

Detailed Explanation: Convert percents to decimals

A percent means “out of 100.” To write a percent as a decimal, divide by (100)(100), which moves the decimal point two places to the left.

Example: Convert (45%)(45\%) to a decimal.

  1. Write (45)(45) with a decimal point: (45.0)(45.0).
  2. Move the decimal point two places left:
45.04.500.45 45.0 \rightarrow 4.50 \rightarrow 0.45
  1. Therefore,
45%=0.45 45\% = 0.45

The zero in (0.45)(0.45) shows that (45%)(45\%) is (45)(45) hundredths.

Learn by doing: Convert percents to decimals

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Percents to Decimals - Standard


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