Convert degrees to gradians
Converting degrees to gradians is a common angle task, whether you are checking a recipe, a spec sheet, a travel distance or a homework problem. Since 1 ° equals 1.11111 gon, the math is a single multiplication — and this page does it for you instantly, with the formula, a table of common values and answers to the questions people ask most.
Exact factor
How to convert degrees to gradians
To convert degrees to gradians, multiply the number of degrees by 1.11111. For example, 10 ° × 1.11111 = 11.1111 gon.
gon = ° × 1.11111
- Write down the value in degrees you want to convert.
- Multiply it by 1.11111 (the exact °→gon factor).
- The result is your value in gradians. Check it below with the converter or the table.
Conversion table
Common values of degrees and their equivalents in gradians:
| ° | gon |
|---|---|
| 1 | 1.11111 |
| 2 | 2.22222 |
| 3 | 3.33333 |
| 4 | 4.44444 |
| 5 | 5.55556 |
| 10 | 11.1111 |
| 20 | 22.2222 |
| 25 | 27.7778 |
| 50 | 55.5556 |
| 100 | 111.111 |
| 250 | 277.778 |
| 500 | 555.556 |
About these units
Degree (°). A degree is 1/360 of a full circle, the everyday angle unit inherited from Babylonian astronomy. Maps, compasses, geometry classes and weather use degrees.
Gradian (gon). A gradian (gon) is 1/400 of a full circle, so a right angle is exactly 100 gradians. It is used in surveying and some European engineering fields for decimal-friendly math.
Frequently asked questions
How do I convert degrees to gradians?
To convert degrees to gradians, multiply the number of degrees by 1.11111. For example, 10 ° × 1.11111 = 11.1111 gon. Or skip the math: type the value into the converter at the top of this page and the result updates instantly.
How many gradians are in 1 degree?
1 ° = 1.11111 gon. That is the fixed relationship used by this converter and by international standards.
How many degrees are in 1 gradian?
1 gon = 0.9 °. If you are converting in the opposite direction, use our Gradian to Degree converter for the dedicated table and FAQ.
Is the degrees to gradians conversion exact?
Yes. Both units are defined by international agreement, so the factor of 1.11111 is exact. Displayed results are rounded to 6 significant digits only for readability.
What is degree used for?
A degree is 1/360 of a full circle, the everyday angle unit inherited from Babylonian astronomy. Maps, compasses, geometry classes and weather use degrees.