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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.
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