Gradians to Degrees
Convert gradians to degrees instantly. 1 grad = 0.9 °. Includes the exact factor, a conversion table of common values and the definition of both units.
How to convert gradians to degrees
To convert gradians to degrees, divide by 1.1111111111 (multiply by 0.9). The relationship is fixed, so the same factor works for any quantity — there is nothing to look up and nothing that changes with temperature, location or context.
° = grad × 0.9
Gradians to Degrees conversion table
The values people look up most often, rounded for reading. Use the calculator above for anything in between.
| Gradians | Degrees |
|---|---|
| 1 grad | 0.9 ° |
| 2 grad | 1.8 ° |
| 3 grad | 2.7 ° |
| 5 grad | 4.5 ° |
| 10 grad | 9 ° |
| 20 grad | 18 ° |
| 25 grad | 22.5 ° |
| 50 grad | 45 ° |
| 100 grad | 90 ° |
| 500 grad | 450 ° |
| 1,000 grad | 900 ° |
What is a gradian?
A 400th of a circle, used in some surveying.
What is a degree?
A 360th of a circle, inherited from Babylonian astronomy.
The formula
° = grad × 0.9
Every result on this page comes from this formula. Nothing is rounded until the final display, so figures match a spreadsheet to the cent.
How to use the Gradians to Degrees
- Type the number of gradians you want to convert.
- Read the result in degrees straight away — there is no button to press.
- Check the table below for the values that come up most often, or reverse the conversion with the linked degrees to gradians page.
Gradians to Degrees — frequently asked questions
How many degrees are in a gradian?
One gradian equals 0.9 °. ° = grad × 0.9
What is the formula to convert gradians to degrees?
The formula is ° = grad × 0.9. It is an exact definition rather than an approximation, so the conversion never drifts no matter how large the number.
How do I convert degrees back to gradians?
Divide instead of multiplying: one degree is 1.1111111111 grad. The reverse converter is linked in the related tools list.
Is this conversion exact?
Yes. Both units are defined against the same base unit by international agreement, so the factor is exact — any rounding you see is only in the display, which you can widen by entering more decimal places.
Is this gradians to degrees free to use?
Yes. Every calculator on the site is free, needs no sign-up, and runs entirely in your browser, so your figures never leave your device.
What people search for
This page answers each of these searches. They are the exact phrases visitors use to find the gradians to degrees.
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About this calculator
Written and reviewed by The Samsung Calculator editorial team. Every calculator is written against a published formula, reviewed against at least one independent reference implementation, and dated when it changes.
Last reviewed August 19, 2026 · Calculation runs client-side · No data collected · Report an error