How do you convert slope percent into tan degree value?

Answer 1

Let m be the slope in percent and theta be the angle in question.

tan (theta) = m/100

theta = arctan (m/100)

To verify the result, we know the following:

tan 0 = 0

tan (45 degrees) = 1 = 100%

tan (90 degrees) = infinity

For example, if 0 < m < 100%, then 0 < theta < 45 degrees.