Degrees to percent grade
Type a value in ° to get it in % instantly.
17.63%
That's 1.76× as steep as a steep road sign, while a very steep road is 1.13× steeper. Over a kilometer on the map that climbs about 176.3 meters.
What it means
How steep is that?
Percent grade is rise over horizontal run. Road signs use the same definition, so a 10% hill climbs 10 m over 100 m of map distance, not of road.
The math
How to convert ° to %
Grade and angle are linked by the tangent: grade % = tan(angle) × 100, and back again angle = arctan(grade ÷ 100). A 1 in N slope is simply 100 ÷ N percent.
Example: 10 ° = 17.6327 %.
Every unit
Your slope in every unit
Tables
° to % conversion table
| ° | % |
|---|---|
| 0.286 ° | 0.499168 % |
| 0.573 ° | 1.00011 % |
| 1.15 ° | 2.0074 % |
| 1.72 ° | 3.00287 % |
| 2.86 ° | 4.99579 % |
| 4.57 ° | 7.99311 % |
| 5.71 ° | 9.99895 % |
| 8.53 ° | 14.9986 % |
| 11.3 ° | 19.982 % |
| 14 ° | 24.9328 % |
| 24.2 ° | 44.9418 % |
| 45 ° | 100 % |
% to ° conversion table
| % | ° |
|---|---|
| 0.5 % | 0.286477 ° |
| 1 % | 0.572939 ° |
| 2 % | 1.14576 ° |
| 3 % | 1.71836 ° |
| 5 % | 2.86241 ° |
| 8 % | 4.57392 ° |
| 10 % | 5.71059 ° |
| 15 % | 8.53077 ° |
| 20 % | 11.3099 ° |
| 25 % | 14.0362 ° |
| 45 % | 24.2277 ° |
| 100 % | 45 ° |
Quick answers
Quick answers
- How many % is 1 °?
- 1 ° is 1.74551 %.
- How many % is 10 °?
- 10 ° is 17.6327 %.
The units
About these units
Degrees (°)
The true angle from horizontal.
Percent grade (%)
Rise over run as a percentage, the measure on road signs.
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