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

Factors: NIST SP 811 · SI Brochure · NIST Handbook 44 — Updated