I think the standard staircase is 12" over 8" rise, that would put the angle right around 33.69 degrees arctan(8/12), sounds like you have some accurate tools LCC.
For X Degrees the Percent grade =
tan(x) * 100
10 degrees = 17.6 percent grade
30 degrees = 57.7 percent grade
45 degrees = 100 percent grade
70 degrees = 274.7 percent grade
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