Degree to Percent Slope Calculator

Last updated: 11 Mar 2025 | Author: Brij | Review By: Irshad

Share on :

It converts a slope angle (in degrees) into a percentage to help determine the steepness of roads, ramps, roofs, and land surfaces.

Degrees:

Result

Percent Slope:

Common Slope Conversions Table

Slope (Degrees)	Slope (%)
1°	1.75%
5°	8.75%
10°	17.63%
15°	26.79%
20°	36.40%
30°	57.74%
45°	100.00%

When working with roads, ramps, roofs, or landscaping, slope measurement is crucial for safety and functionality. Slopes can be represented in degrees or as a percentage (% gradient). Converting between these units helps ensure proper design and compliance with regulations.

A Degree to Percent Slope Calculator simplifies this conversion, providing quick and accurate results.

What Is Slope?

Slope represents the steepness or incline of a surface. It can be expressed in:

Degrees (°) – The angle of inclination from a horizontal plane.
Percentage (%) – The vertical rise per 100 units of horizontal run.

The higher the percentage, the steeper the slope. For example, a 10% slope means a 10-unit rise for every 100 units of run.

Formula to Convert Degrees to Percent Slope

To convert a slope from degrees to percentage, use the formula:

$\text{Slope Percentage} = \tan(\text{Slope Angle in Degrees}) \times 100$

Example Calculation

Let’s convert a 30° slope into percentage.

Step 1: Identify Given Values

Slope Angle (θ) = 30°

Step 2: Apply the Formula

$\text{Slope Percentage} = \tan(30^\circ) \times 100$

$= 0.5774 \times 100$

$= 57.74\%$

Conclusion

A Degree to Percent Slope Calculator is an essential tool for engineers, architects, and landscapers. It simplifies slope conversion, ensuring accuracy in construction, road planning, and accessibility projects.