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Rise Over Run to Percent Calculator

Convert a rise and run to a percent slope (grade).

Change the values and press Calculate to work out your own figures.

Enter the rise and the run.

About riseVertical change.
About runHorizontal change (not 0).
Result
Percent grade
25%
Slope as a fraction
1/4
As a decimal
0.25
Angle
14.03624347°
Ratio
1 : 4

Rise 3 over run 12 is a slope of 1/4 (14.03624347°, 25%).

Show the working
  1. slope = rise ÷ run; angle = arctan(slope); grade = slope × 100%

How to use it

Enter the rise and the run.

Enter coordinates as whole numbers, decimals or fractions (3/4). Show the working gives the formula with your numbers.

Key facts

grade = rise ÷ run × 100%

Road signs

A 6% grade rises 6 m for every 100 m travelled horizontally, about 3.43°.

Questions

3 over 12 as a percent?

25%.

Is 100% vertical?

No, 100% is 45°.

Formulas

grade = rise ÷ run × 100%

Sources

Limitations

  • Vectors have two or three components (leave z blank for 2-D).
  • Earth distances assume the WGS 84 ellipsoid (sea level).

Formula version 0.1.0Reviewed