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Convert decimals to percents

A terminating decimal is converted to an equivalent percent by identifying it as a number of hundredths or multiplying it by 100; equivalently, the digits shift two places to the left, with zeros added when needed. This applies to decimals less than, equal to, or greater than 1, so values such as 0.45, 0.7, and 1.25 correspond to 45%, 70%, and 125%; repeating-decimal and more advanced symbolic cases are outside this scope.

Detailed Explanation: Convert decimals to percents

A percent means “per hundred.” To convert a terminating decimal to a percent, multiply it by 100100.

Multiplying by 100100 moves the decimal point two places to the right.

Example: Convert 1.251.25 to a percent.

  1. Start with the decimal: 1.251.25.
  2. Multiply by 100100:
1.25×100=1251.25 \times 100 = 125
  1. Add the percent sign:
1.25=125%1.25 = 125\%

So, 1.251.25 is equal to 125%125\%.

Learn by doing: Convert decimals to percents

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Decimals to Percents - Standard


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