Grade and Slope Converter
Convert slope between percentage, degrees, ratio (1:x), and rise/run values instantly.
Type in any field — the others update instantly.
Slope can be expressed in several equivalent ways.
Conversion formulas:
- Slope % = (Rise / Run) × 100
- Slope degrees = arctan(Rise / Run)
- Slope ratio 1:X = 1 : (Run / Rise)
- Rise/Run = tan(degrees)
Relationship between units:
| Degrees | Percent | Ratio | Description |
|---|---|---|---|
| 1° | 1.75% | 1:57.3 | Nearly flat |
| 5° | 8.75% | 1:11.4 | Gentle slope |
| 10° | 17.6% | 1:5.7 | Moderate slope |
| 15° | 26.8% | 1:3.7 | Steep slope |
| 30° | 57.7% | 1:1.7 | Very steep |
| 45° | 100% | 1:1 | Equal rise & run |
Common references:
- Wheelchair ramp (ADA): max 8.3% (1:12, 4.76°)
- Steep road: 8-12% (4.6-6.8°)
- Steep hiking trail: 20-40% (11-22°)
- Roof pitch 4:12: 33.3% (18.4°)
- Staircase: 60-70% (31-35°)