To convert, use this formula:
Percentage = [ Tan ( Degrees ) ] x 100
Example: An angle of 48° would be:
Percentage of Slope = [ Tan ( 48 ) ] x 100
Calculated out this gives a percentage 111.06 percent because
the rise is greater than the amount of run by 11.06 percent.
Slopes and angles are very common in our daily lives. Most construction principles utilize this calculation to determine the angles that are needed to cut lumber in order to have a sloped roof with the correct dimensions.