Degrees to Percent Grade
1 ° = 1.745506 %
How to convert degrees to percent grade
% = tan(° × π ÷ 180) × 100
Example: 5 ° = 8.748866 %
Degrees to Percent Grade conversion table
| Degrees (°) | Percent Grade (%) |
|---|---|
| 1 ° | 1.745506 % |
| 2 ° | 3.492077 % |
| 3 ° | 5.240778 % |
| 4 ° | 6.992681 % |
| 5 ° | 8.748866 % |
| 6 ° | 10.51042 % |
| 7 ° | 12.27846 % |
| 8 ° | 14.05408 % |
| 9 ° | 15.83844 % |
| 10 ° | 17.6327 % |
| 15 ° | 26.79492 % |
| 20 ° | 36.39702 % |
| 25 ° | 46.63077 % |
| 30 ° | 57.73503 % |
| 40 ° | 83.90996 % |
| 50 ° | 119.1754 % |
| 75 ° | 373.2051 % |
About the units
Degrees: The degree is 1/360 of a full turn, the most common unit for measuring angles.
Percent Grade: Percent grade expresses slope as rise over run × 100. A 100% grade is a 45° slope.
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Frequently asked questions
What is 1 degree in percent grade?
1 degree equals 1.745506 percent grade.
What is 1 percent grade in degrees?
1 percent grade equals 0.5729387 degrees.
How do I convert degrees to percent grade?
Use the formula % = tan(° × π ÷ 180) × 100.
What is 10 degrees in percent grade?
10 degrees equals 17.6327 percent grade.
Related conversions
Sources
Conversion factors use the exact definitions published by NIST and the BIPM, and are checked by automated tests against those definitions.
- NIST Special Publication 811: Guide for the Use of the International System of Units
- BIPM: The International System of Units (SI Brochure)
- NIST Handbook 44, Appendix C: General Tables of Units of Measurement
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