Decimal to Percent & Percent to Decimal Calculator

Use this calculator to convert a decimal to a percent, or a percent to a decimal, in one click. It shows not only the final answer but also the step-by-step work.

How to Use This Calculator

1. Choose a tab. Select “Decimal → Percent” or “Percent → Decimal.”
2. Enter your number. Type a decimal such as 0.85, or a percent such as 72 (you don’t need to type the % sign). A dot or a comma both work as the decimal mark, so 0.85 and 0,85 give the same answer.
3. Click Convert or press Enter to see the result.
4. Click “Show the work” to see each step.

A comma followed by exactly three digits (like 1,234) is read as a thousands separator, so it becomes 1234. For repeating decimals such as 0.3333…, enter a rounded value (see the repeating decimals section below).

How to Convert a Decimal to a Percent

To convert a decimal to a percent, multiply it by 100 and add the % sign.

Formula: Decimal × 100 = Percent (%)

The % sign means “per 100” (÷ 100). Multiplying by 100 and adding % cancels out, so the value stays the same: 0.85 = 85/100 = 85%.

Shortcut: Move the decimal point two places to the right and add the % sign.

Decimal to Percent Examples

• Example 1 (a standard decimal): 0.85 × 100 = 85, so 0.85 = 85%. Moving the decimal point two places to the right turns 0.85 into 85.
• Example 2 (a small decimal): 0.042 × 100 = 4.2, so 0.042 = 4.2%.
• Example 3 (a decimal greater than 1): 3.25 × 100 = 325, so 3.25 = 325%. A decimal above 1 always gives a percent above 100%. If there aren’t enough digits to move past, add zeros: 3.5 → 350%.

How to Convert a Percent to a Decimal

To convert a percent to a decimal, divide it by 100 and drop the % sign.

Formula: Percent ÷ 100 = Decimal

Shortcut: Move the decimal point two places to the left and drop the % sign.

Percent to Decimal Examples

• Example 1 (a standard percent): 72 ÷ 100 = 0.72, so 72% = 0.72.
• Example 2 (a percent under 10%): 8.5 ÷ 100 = 0.085, so 8.5% = 0.085. When there are no more digits to move past, add a zero.
• Example 3 (a percent over 100%): 145 ÷ 100 = 1.45, so 145% = 1.45.
• Example 4 (a store discount): Most calculators work best when you enter 15% as 0.15. To find 15% off an $80 jacket: $80 × 0.15 = $12 discount, so the sale price is $80 − $12 = $68.

Not sure which way to move the decimal point? Enter your number in the calculator above and click “Show the work” to see every step.

Decimal to Percent Conversion Chart

Decimal	Percent (%)
0.001	0.1%
0.01	1%
0.025	2.5%
0.05	5%
0.0825	8.25%
0.1	10%
0.125	12.5%
0.2	20%
0.25	25%
0.333…	≈ 33.33%
0.5	50%
0.666…	≈ 66.67%
0.75	75%
0.9	90%
0.99	99%
1	100%
1.5	150%
2	200%
5	500%

Percent to Decimal Conversion Chart

Percent (%)	Decimal
0.1%	0.001
0.5%	0.005
1%	0.01
2%	0.02
5%	0.05
7.5%	0.075
10%	0.1
15%	0.15
18%	0.18
20%	0.2
25%	0.25
30%	0.3
40%	0.4
50%	0.5
75%	0.75
100%	1
120%	1.2
200%	2
500%	5

What Are Decimals and Percentages? 

Decimal: The decimal system is based on 10 and uses the digits 0 through 9. A decimal point separates the whole-number part from the fractional part. Moving left from the decimal point, each place is worth 10 times more (ones, tens, hundreds). Moving right, each place is worth one-tenth as much (tenths, hundredths, thousandths). 

Percentages: The word percent comes from the Latin per centum, meaning ‘by the hundred.’ A percent is a number out of 100, written with the % sign, so 1% means 1/100 (0.01).

Example: If a survey says ‘65% of students love basketball,’ it means 65 out of every 100 students do. In a group of 200 students, that would be 130.

How to Convert Repeating Decimals to Percents 

Some decimals never end. In a repeating decimal, a digit or group of digits repeats forever, like 0.7777… To convert a repeating decimal to a percent, use the same method: 0.7777… × 100 = 77.777…%. In practice, round it: enter 0.7778 in the calculator to get 77.78%.

In written math, a bar (called a vinculum) is drawn over the repeating digit or digits.

Not sure which way to move the decimal point? Enter your number in the calculator above and click ‘Show the work’ to see every step.

Common Mistakes to Avoid 

• Forgetting the % sign: Don’t confuse 45 with 45%. The number 45 is forty-five whole units, while 45% is only 0.45.
• Putting the zero in the wrong place: Many people convert 6% to 0.6, but 0.6 is actually 60%. The correct answer is 0.06. Remember the rule: move the decimal point two places left.

Frequently Asked Questions 

References

• OpenStax Prealgebra, 6.1 Understand Percent- https://openstax.org/books/prealgebra/pages/6-1-understand-percent 
• Common Core State Standards, 6.RP.A.3.c- https://www.thecorestandards.org/Math/Content/6/RP/A/3/c/
• Merriam-Webster: percent – https://www.merriam-webster.com/dictionary/percent
• Wolfram MathWorld: Repeating Decimal-  https://mathworld.wolfram.com/RepeatingDecimal.html
• Wolfram MathWorld: Vinculum- https://mathworld.wolfram.com/Vinculum.html

Disclaimer 

This calculator and the accompanying information are provided for educational and informational purposes only. While every effort has been made to ensure the accuracy of the calculations, we make no warranties or guarantees regarding the results. Please verify all critical calculations independently before using them for financial or academic purposes. 

Published date: February 2026, Last verified: September 2026