Degree to Percent Slope Calculator

Enter the Slope (degrees) or Percent Slope (%) to calculate the other value accurately.

The Degree to Percent Slope Calculator simplifies the conversion between slope angles (in degrees) and percent slope. This calculation is essential for construction, road design, and landscaping, where slope representation is critical. Use this tool to quickly find the slope in the desired format for various applications.

Formula

Convert Degrees to Percent Slope

\text{Percent Slope} (\%) = \tan(\text{Slope Degrees}) \times 100

Convert Percent Slope to Degrees

\text{Slope Degrees} = \arctan\left(\frac{\text{Percent Slope}}{100}\right) \times \frac{180}{\pi}

Variable	Description	Unit
Slope Degrees	The angle of the slope	Degrees (°)
Percent Slope	The rise/run ratio expressed as a percentage	%
$\pi$	Mathematical constant (≈ 3.14159)	—

Solved Calculations

Example 1:

Input Parameters	Value
Percent Slope ( $\%$ )	50
Slope Degrees ( $°$ )	$\arctan(50/100) \times 57.2958$

Example 2:

Input Parameters	Value
Slope Degrees ( $°$ )	45
Percent Slope ( $\%$ )	$\tan(45) \times 100 =$

More Calculators

Degree to Percent Slope Calculator