Free tool · Measure

Slope Calculator: Percent, Degrees and 1 in N

Work out a slope from rise and run or two levels, and convert between percent, degrees and 1 in N — for roads, drains, ramps and roofs.

Free · no sign-up · works in your browser, on phone and computer

Example · A drain run

Levels
45.260 at the start, 44.810 at the end, 30 m apart
Percent
-1.5 %
Degrees
-0.859°
1 in N
1 in 66.7 (falling)

What it does

  • From what you measured

    Rise and run, or two levels and the distance between them.

  • Three ways to write it

    Percent grade, angle in degrees and 1 in N, always side by side.

  • Convert any one

    Type a percent, an angle or a 1 in N and get the other two.

  • Slope length

    The length along the slope, and whether it rises or falls.

How to use it

  1. 1

    Press Use the tool.

  2. 2

    Type the rise and run, two levels and a distance, or a slope to convert.

  3. 3

    Read the slope as percent, degrees and 1 in N.

Who it's for

  • Site engineers setting drain and pipe falls
  • Builders and architects checking ramps and roofs
  • Road and earthworks crews checking crossfall and batters

Three ways to write the same slope

  • Percent (grade): rise ÷ run × 100. A 1 m rise over 50 m is 2%. Used for roads, drains and pipes.
  • Degrees: the angle from level, arctan(rise ÷ run). 45° is 100%.
  • 1 in N: how far you go along for each unit up. 2% is 1 in 50. Used for ramps and falls.

Typical values

  • Wheelchair ramp: no steeper than 1 in 12 (8.3%) in most codes, 1 in 20 (5%) preferred.
  • Foul drain, 100 mm pipe: about 1 in 40 to 1 in 80 (2.5% to 1.25%).
  • Road crossfall: about 2.5%.

Always check the code or specification for your job; these are only rough guides.

Questions

How do I work out a slope percentage?

Rise ÷ run × 100. A 1.5 m rise over 60 m is 2.5%.

How do I convert percent to degrees?

Degrees = arctan(percent ÷ 100). 100% is 45°, 10% is about 5.71°.

What does 1 in 12 mean?

One unit up for every 12 along — 8.33%, about 4.76°. It is a common maximum for wheelchair ramps.

What fall does a drain need?

Often about 1 in 40 to 1 in 80 for a 100 mm foul drain, but always follow the code or specification for your job.

Use the tool

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