Percent Grade to Degrees

1 % = 0.5729387 °

How to convert percent grade to degrees

° = arctan(% ÷ 100) × 180 ÷ π

Example: 5 % = 2.862405 °

Percent Grade to Degrees conversion table

Percent Grade (%)Degrees (°)
1 %0.5729387 °
2 %1.145763 °
3 %1.718358 °
4 %2.29061 °
5 %2.862405 °
6 %3.43363 °
7 %4.004173 °
8 %4.573921 °
9 %5.142765 °
10 %5.710593 °
15 %8.530766 °
20 %11.30993 °
25 %14.03624 °
30 %16.69924 °
40 %21.80141 °
50 %26.56505 °
75 %36.8699 °
100 %45 °
250 %68.19859 °
500 %78.69007 °
1,000 %84.28941 °

About the units

Percent Grade: Percent grade expresses slope as rise over run × 100. A 100% grade is a 45° slope.

Degrees: The degree is 1/360 of a full turn, the most common unit for measuring angles.

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Frequently asked questions

What is 1 percent grade in degrees?

1 percent grade equals 0.5729387 degrees.

What is 1 degree in percent grade?

1 degree equals 1.745506 percent grade.

How do I convert percent grade to degrees?

Use the formula ° = arctan(% ÷ 100) × 180 ÷ π.

What is 10 percent grade in degrees?

10 percent grade equals 5.710593 degrees.

Related conversions

Sources

Conversion factors use the exact definitions published by NIST and the BIPM, and are checked by automated tests against those definitions.

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