How grade is calculated
Grade is the ratio of vertical rise to horizontal run, expressed as a percentage. A 10-foot rise over a 100-foot run is a 10 percent grade. The angle in degrees is the arctangent of that ratio.
Slope ratio expresses the same relationship as rise-to-run, such as 1:10 or 1:4. All three representations describe the same physical slope; the choice of format depends on the application.
Grade (%) = (Rise / Run) x 100
Divide the vertical rise by the horizontal run and multiply by 100 to get the percentage grade.
Angle = arctan(Rise / Run)
The slope angle in degrees is the inverse tangent of the rise-to-run ratio.