Time & Angles

Degrees to Gradians

Convert degrees to gradians instantly. 1 ° = 1.1111111111 grad. Includes the exact factor, a conversion table of common values and the definition of both units.

°
Gradians
One step, one exact factorDegreeswhat you have× 1.1111111111Gradianswhat you getBoth units are defined against the same base unit, so the factor is exact — never an approximation.

How to convert degrees to gradians

To convert degrees to gradians, multiply by 1.1111111111. 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 = ° × 1.1111111111

Degrees to Gradians conversion table

The values people look up most often, rounded for reading. Use the calculator above for anything in between.

DegreesGradians
1 °1.111111 grad
2 °2.222222 grad
3 °3.333333 grad
5 °5.555556 grad
10 °11.111111 grad
20 °22.222222 grad
25 °27.777778 grad
50 °55.555556 grad
100 °111.111111 grad
500 °555.555556 grad
1,000 °1,111.11 grad

What is a degree?

A 360th of a circle, inherited from Babylonian astronomy.

What is a gradian?

A 400th of a circle, used in some surveying.

The formula

grad = ° × 1.1111111111

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 Degrees to Gradians

  1. Type the number of degrees you want to convert.
  2. Read the result in gradians straight away — there is no button to press.
  3. Check the table below for the values that come up most often, or reverse the conversion with the linked gradians to degrees page.

Degrees to Gradians — frequently asked questions

How many gradians are in a degree?

One degree equals 1.1111111111 grad. grad = ° × 1.1111111111

What is the formula to convert degrees to gradians?

The formula is grad = ° × 1.1111111111. It is an exact definition rather than an approximation, so the conversion never drifts no matter how large the number.

How do I convert gradians back to degrees?

Divide instead of multiplying: one gradian is 0.9 °. 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 degrees to gradians 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 degrees to gradians.

  • degrees to gradians
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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