Decimal to Percent Converter
Enter a decimal number and get its percentage equivalent instantly, or flip the direction and convert a percentage back to a decimal. The formula is simple: multiply by 100 to go from decimal to percent, divide by 100 to go the other way. The worked-steps panel shows every calculation with your actual numbers so you can verify the result at a glance.
Formula
Worked example
To convert 0.75 to a percent: 0.75 × 100 = 75%. To reverse: 75 ÷ 100 = 0.75. The shortcut is to move the decimal point two places to the right (or left for the reverse).
How to convert a decimal to a percent
The rule is always the same: multiply the decimal by 100 and add the percent sign. For example, 0.45 × 100 = 45%, and 1.3 × 100 = 130%. A quick mental shortcut is to move the decimal point two places to the right: 0.45 becomes 45, so 45%. This works because "percent" literally means "per hundred," so any decimal is just the count of hundredths being described. Values less than 1 give a percentage below 100%. Values greater than 1 give a percentage above 100%, which is perfectly valid when expressing growth, ratios, or anything that exceeds the reference whole.
How to convert a percent back to a decimal
Divide the percentage by 100 (or move the decimal point two places to the left). For example, 35% ÷ 100 = 0.35, and 0.5% ÷ 100 = 0.005. This reverse conversion is critical in finance and science: a stated interest rate of 5% must be entered into formulas as 0.05. A discount of 20% applied to a price is the price multiplied by (1 - 0.20) = 0.80. Getting this conversion wrong is a common source of calculation errors, so it is always worth writing out the divide-by-100 step explicitly.
Decimals, fractions, and percents: how they relate
Decimals, fractions, and percents are three ways to express the same idea - a part of a whole. The number 0.5, the fraction 1/2, and 50% all mean exactly the same thing. Converting between them is a matter of moving between these representations: fraction to decimal means dividing the numerator by the denominator (1 / 2 = 0.5); decimal to percent means multiplying by 100 (0.5 × 100 = 50%); percent to fraction means writing the number over 100 and simplifying (50/100 = 1/2). Understanding all three forms makes it much easier to work with proportions in everyday situations like sales discounts, exam scores, nutrition labels, and financial interest rates.
When percentages go above 100
Many people assume percentages must be between 0 and 100, but that is not true. A decimal greater than 1 converts to a percentage above 100%, and this comes up frequently. If a company's revenue grew from 200 to 500, the growth is 300/200 = 1.5, which is 150% - meaning revenue grew by 150% of the original amount. Similarly, 2.5 as a decimal equals 250%, meaning the new value is 2.5 times the reference. Negative decimals convert to negative percentages, representing a decrease or deficit. The formula is identical regardless of sign or magnitude: multiply by 100.
Common decimal to percent conversions
| Decimal | Percent | Fraction | Common use |
|---|---|---|---|
| 0.001 | 0.1% | 1/1000 | Basis points in finance |
| 0.01 | 1% | 1/100 | Tax, commission rates |
| 0.05 | 5% | 1/20 | Standard tip, interest rates |
| 0.1 | 10% | 1/10 | Common discount |
| 0.125 | 12.5% | 1/8 | Fraction of a pie chart |
| 0.2 | 20% | 1/5 | Restaurant tip |
| 0.25 | 25% | 1/4 | Quarter |
| 0.33 | 33% | 1/3 (approx.) | One-third |
| 0.375 | 37.5% | 3/8 | Fraction of a whole |
| 0.5 | 50% | 1/2 | Half |
| 0.6 | 60% | 3/5 | Majority threshold |
| 0.625 | 62.5% | 5/8 | Fraction |
| 0.67 | 67% | 2/3 (approx.) | Two-thirds |
| 0.75 | 75% | 3/4 | Three-quarters |
| 0.8 | 80% | 4/5 | Grade threshold |
| 0.9 | 90% | 9/10 | High percentage |
| 1 | 100% | 1/1 | Whole |
| 1.25 | 125% | 5/4 | More than whole |
| 1.5 | 150% | 3/2 | One and a half |
| 2 | 200% | 2/1 | Double |
Quick reference for the most frequently used decimal-percent pairs. All values follow the formula: percent = decimal x 100.
Frequently asked questions
What is the formula to convert a decimal to a percent?
Multiply the decimal by 100 and add a percent sign. The formula is: percent = decimal x 100. For example, 0.6 x 100 = 60%. Equivalently, move the decimal point two places to the right: 0.6 becomes 60. The two methods always give the same result.
How do I convert a percent to a decimal?
Divide the percentage by 100. For example, 45% / 100 = 0.45. The shortcut is to move the decimal point two places to the left: 45. becomes .45, so 0.45. This is the exact reverse of the decimal-to-percent conversion.
Can a decimal be greater than 1, and what percent is that?
Yes. A decimal greater than 1 gives a percentage above 100%. For example, 1.5 x 100 = 150%, and 2.0 x 100 = 200%. This is common in growth calculations, price multipliers, and ratios where the result exceeds the original whole.
What is 0.01 as a percent?
0.01 as a percent is 1%. You multiply 0.01 by 100: 0.01 x 100 = 1. So 0.01 = 1%. This also means 1 basis point in finance equals 0.01%.
What is 0.5 as a percent?
0.5 as a percent is 50%. Multiplying 0.5 by 100 gives 50. It is also equivalent to the fraction 1/2.
What is 0.75 as a percent?
0.75 as a percent is 75%. Multiplying 0.75 by 100 gives 75. It is equivalent to three-quarters (3/4).
How do I convert a recurring decimal like 0.333... to a percent?
Apply the same formula: 0.333... x 100 = 33.3...%, which is often written as 33.33% or 33 1/3%. For exact fractions like 1/3, it is cleaner to write 33.33% (to 2 decimal places) or 33 1/3% rather than trying to truncate a repeating decimal.