# How to Convert Angles Into Percentages

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Angle and percentage of gradient are two completely different concepts, yet you can readily convert one into the other. The reason this is true is that you can actually measure a slope in terms of angle instead of the more conventional method. Angles are denoted as fractions of a circle. One degree, for example, is a full circle divided by 360. Gradient is a ratio of vertical and horizontal movement. A one to one gradient, where horizontal and vertical movement is equal, is 100 percent gradient. The same gradient expressed as an angle is 45 degrees.

### Things You'll Need

• Scientific calculator
• Enter the degrees of angle into the calculator. For example, if the angle is 30 degrees, enter 30.

• Press the "TAN" (Tangent) key on the calculator. For an angle of 30, the calculator should read 0.577350269.

• Multiply by 100. In the preceding example, 30 degrees equals 57.73502692, which you can round up to 58 percent grade.

## References

• "Student Calculator Math"; Ralph A. Oliva, et al; 1980
• Photo Credit Jupiterimages/Photos.com/Getty Images
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