Pythagorist
Percentages

Percentage to Decimal Calculator

Convert any percentage to a decimal with step-by-step working. Shows the simple division by 100 method and explains why it works. Useful for probability, finance and everyday calculations.

As a decimal

0.35

How it works

  1. Divide by 100

    35÷100=0.3535 \div 100 = 0.35

    "Per cent" means per hundred, so divide by 100. Equivalently, move the decimal point two places to the left.

    Result:0.35

The formula

Decimal=Percentage100\text{Decimal} = \frac{\text{Percentage}}{100}
PercentagePercentageThe percentage value (e.g. 35%)

Example substitution

35%=35100=0.3535\% = \frac{35}{100} = 0.35

Divide by 100: move the decimal point two places to the left.

Worked examples

Convert 35% to a decimal.

  1. 1
    Divide by 100: 35 ÷ 100 = 0.35
Answer: 0.35

Convert 7.5% to a decimal.

  1. 1
    Divide by 100: 7.5 ÷ 100 = 0.075
Answer: 0.075

Convert 125% to a decimal.

  1. 1
    Divide by 100: 125 ÷ 100 = 1.25
Answer: 1.25

Frequently asked questions

How do you convert a percentage to a decimal?+

Divide by 100 or move the decimal point two places to the left. E.g., 75% = 0.75.

What is 5% as a decimal?+

5% = 0.05.

What is 12.5% as a decimal?+

12.5% = 0.125.

Why convert percentages to decimals?+

Decimals are easier to use in calculations. Multiplying by 0.2 is simpler than multiplying by 20% when using a calculator.

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