Math

Slope Percentage Calculator

Convert a rise and run into slope as a percentage, ratio and angle.

Parameters Live Compute
Calculated Output
Slope (%) 15
Angle (°) 8.531
Formula: slope% = rise ÷ run × 100
Step-by-Step Breakdown
1. Values used:
2. Rise (vertical) = 3
3. Run (horizontal) = 20
4.
5. Slope = 15%
6. Angle = 8.531°
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Grade or slope as a percentage is widely used for roads, ramps and roofs.

The math behind it

A slope percentage is rise ÷ run × 100. A 100% slope is a 45° angle (rise equals run).

Worked Example

Rise 3 over run 20 → 3 ÷ 20 × 100 = 15% (about 8.5°).

Frequently Asked Questions

Is 100% slope vertical?

No — it is 45°. A vertical slope is undefined (infinite percentage).

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