Slope: converting percent to degrees and ratio

Convert slope between percent, degrees and ratio. See common slopes you meet in everyday life.

Angle (degrees)

Sklon (%)

Sklon (‰)

Ratio 1 :

Slope in percent is the ratio of rise to horizontal distance (tangent of the angle × 100): 10 % means a 10 m rise over 100 m. Per mille (10 ‰ = 1 %) is used for railways and drainage gradients. The ratio 1:x tells you after how many metres horizontally the height rises by 1 metre. Edit any field and the others recalculate.

Common slopes in practice

Percent = rise per 100 m of horizontal distance; ratio 1:x = the height rises 1 m every x metres.

Where you meet it	Slope (%)	Angle (°)	Ratio
Terrace drainage slope	2 %	1.1°	1:50
Signed road gradient	6 %	3.4°	1:16.7
Steeper road hill	10 %	5.7°	1:10
Wheelchair ramp (max)	8 %	4.6°	1:12
Steep mountain road	15 %	8.5°	1:6.7
Very steep road	20 %	11.3°	1:5
Black ski slope	40 %	21.8°	1:2.5

Values are indicative – specific standards (roofs, ramps, stairs) vary by material and regulation.

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