Degrees to Gradians
Type a value in Degrees and get the result in Gradians, calculated exactly.
90 Degrees = 100 Gradians
Precision
Exact factorThis result is exact.
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Turn either dial: drag it, use the arrow keys, or scroll while it has focus. Both cover the same range.
Range -50 – 100 ° = -55.5556 – 111.111 gon
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Formula
gon = ° ÷ 0.9
To convert Degrees to Gradians, divide the value by 0.9.
Worked examples
- 0 ° ÷ 0.9 = 0 gon
- 90 ° ÷ 0.9 = 100 gon
- 100 ° ÷ 0.9 ≈ 111.1111111 gon
This factor is exact by definition.
Conversion table
| Degrees (°) | Gradians (gon) |
|---|---|
| 1 | ≈ 1.111111 |
| 5 | ≈ 5.555556 |
| 10 | ≈ 11.11111 |
| 15 | ≈ 16.66667 |
| 30 | ≈ 33.33333 |
| 45 | 50 |
| 60 | ≈ 66.66667 |
| 90 | 100 |
| 120 | ≈ 133.3333 |
| 135 | 150 |
| 180 | 200 |
| 270 | 300 |
| 360 | 400 |
Values marked ≈ are rounded; the rest are exact.
Reverse table: Gradians to Degrees
| Gradians (gon) | Degrees (°) |
|---|---|
| 1 | 0.9 |
| 5 | 4.5 |
| 10 | 9 |
| 15 | 13.5 |
| 30 | 27 |
| 45 | 40.5 |
| 60 | 54 |
| 90 | 81 |
| 120 | 108 |
| 135 | 121.5 |
| 180 | 162 |
| 270 | 243 |
| 360 | 324 |
Unit definitions
- Degrees °
- One 360th of a full turn.
- Gradians gon
- One 400th of a full turn: exactly 0.9 degrees. Also called gon.
Questions people ask
Degrees to Gradians: what is the conversion factor?
One ° is ≈ 1.111111111 gon.
How do I convert Degrees to Gradians?
Use the formula above. For example, 90 ° = 100 gon.
Is the conversion exact?
Yes. Both units have exact definitions, so the factor is exact; a result is only rounded when its decimals never end.
Factors checked 19 October 2026.