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Percent to Decimal Calculator

This percent to decimal calculator divides a percent by 100: 45% = 0.45 and 42.5% = 0.425. To turn a decimal back into a percent, multiply by 100.

Sources: OpenStax Prealgebra 2e Updated

Percent to Decimal

Decimal to Percent

How to convert a percent to a decimal

Percent means per hundred, so a percent is already a number of hundredths, as OpenStax Prealgebra puts it. To write it as a decimal:

  1. Drop the % sign: 42.5% becomes 42.5.
  2. Divide by 100, which moves the decimal point two places to the left: 42.5 ÷ 100 = 0.425.
  3. If the point runs out of digits, fill the gap with zeros: 4% = 0.04 and 0.5% = 0.005.
Percent to decimal example: a 10 by 10 grid with 42.5 of its 100 squares shaded, showing that 42.5% = 42.5 ÷ 100 = 0.425.
A percent is a number of hundredths, so dividing by 100 gives the decimal.

How to convert a decimal to a percent

  1. Multiply by 100, which moves the decimal point two places to the right: 0.06 × 100 = 6.
  2. Add the % sign: 6%.

The two boxes in the calculator work independently, so you can convert one way without clearing the other.

Percent to decimal chart

PercentDecimalPercentDecimal
0.5%0.00525%0.25
1%0.0133.3%0.333
5%0.0550%0.5
10%0.175%0.75
12.5%0.125100%1
20%0.2150%1.5

Why percents are turned into decimals

A decimal can go straight into a multiplication. To find 42.5% of $80, work out 80 × 0.425 = $34, not 80 × 42.5. The percentage calculator does this step and the others in a percent problem.

A percent can also be written as a fraction: 42.5% = 17/40, which the percent to fraction calculator simplifies for you. For a decimal that is already in hand, use the decimal to fraction calculator.

Rounding in the calculator

Results are rounded to 12 significant digits. That hides floating-point noise, such as 0.1 + 0.2 showing as 0.30000000000000004, while keeping plenty of precision. A blank or non-numeric entry gives an error message instead of a silent zero.

Questions about percents and decimals

How do you convert a percent to a decimal?

Divide by 100, which moves the decimal point two places to the left. 45% = 0.45, 7% = 0.07 and 150% = 1.5.

How do you convert a decimal to a percent?

Multiply by 100, which moves the decimal point two places to the right, and add the % sign. 0.06 = 6% and 1.25 = 125%.

What is 0.5% as a decimal?

0.005. Dividing 0.5 by 100 moves the point two places left, so two zeros come in front of the 5.

Sources