To convert a decimal to a percentage, multiply it by 100 and add the percent sign. This conversion does not change the underlying value; it only expresses it in a different form.
Decimal to percentage formula
Percentage = Decimal × 100%
A quick visual method is to move the decimal point two places to the right. For example, 0.35 becomes 35%.
Step-by-step examples
| Decimal | Calculation | Percentage |
|---|---|---|
| 0.5 | 0.5 × 100 | 50% |
| 0.08 | 0.08 × 100 | 8% |
| 0.125 | 0.125 × 100 | 12.5% |
| 1.2 | 1.2 × 100 | 120% |
| 0.003 | 0.003 × 100 | 0.3% |
Decimals greater than one
A decimal can produce a percentage above 100%. For example, 1.75 × 100 = 175%. This means the value is 1.75 times the whole, not that the calculation is invalid.
Negative decimals
The same rule applies to negative values. Multiplying −0.24 by 100 gives −24%. A negative percentage may represent a direction, loss, or reduction, depending on the context.
Repeating decimals and rounding
One third is 0.3333… and becomes 33.3333…%. If a rounded answer is needed, state the chosen precision, such as 33.3% or 33.33%. Avoid rounding the decimal before multiplying when accuracy matters.
Convert a percentage back to a decimal
Reverse the process by dividing by 100, or move the decimal point two places left. For example, 42% becomes 0.42. Our percentage-to-decimal guide explains this direction in detail.
Decimals, fractions, and percentages
These formats can represent the same value: 0.25 = 1/4 = 25%. To convert a fraction, divide the numerator by the denominator first, then multiply the decimal by 100. You can also follow our guide to convert a fraction to a percentage.
Common mistakes
- Moving the decimal only one place.
- Dividing by 100 instead of multiplying.
- Forgetting the percent sign.
- Assuming percentages cannot exceed 100%.
- Rounding too early.
Frequently asked questions
What is 0.01 as a percentage?
0.01 × 100 = 1%.
What is 0.625 as a percentage?
0.625 × 100 = 62.5%.
Why do we multiply by 100?
Percent means “per hundred.” Multiplying shows how many parts out of 100 the decimal represents.
For other calculations, open the percentage calculator.