Measurements & Conversions

Slope Degrees to Percent Calculator

Convert a measured slope angle into a percentage gradient for drainage and civil drawings.

  • Answers as you type
  • Every formula cited
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Imperial · sales tax
The slope angle from horizontal, in degrees.

Measured with an inclinometer or digital level. Check several points along the run — a single reading can sit on a local high or low spot.

Gradient

8.749 %

High confidence

Percent = tan(angle) × 100. 100% is a 1:1 slope, not vertical — percentages become unhelpful once gradients get steep.

Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • Gradient percentage = tan(angle) x 100

Inputs used

Slope angle (°)
5
Final result8.75 %

Confidence note: Percent = tan(angle) × 100. 100% is a 1:1 slope, not vertical — percentages become unhelpful once gradients get steep.

5°1008.755° · 8.75 %

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-08-26 · in the site-wide review of 2026-09-06 · v1.0.0

Regulatory standards & verification citations1
  1. Gradient percentage = tan(angle) x 100
Cite this page

Your workspace

Most jobs need more than one number. Add the calculators you need next and they open right here, underneath this one — your figures stay on screen and nothing is lost to a page change.

Surveying an existing fall gives degrees, while civil drawings, drainage schedules and paving specifications want a percentage. The conversion is a tangent, and the useful thing to understand is where it stops behaving intuitively. At shallow gradients percentage and degrees run almost in step; by 45 degrees the gradient reads one hundred percent, which is a 1:1 slope rather than anything approaching vertical. That is why percentages are the natural unit for drainage and ramps and a poor one for roofs. On site, take readings at several points along the run rather than one: compliance usually depends on no section falling below the minimum, not on the average clearing it.

Now that you have the number

These guides cover the work this quantity is for.

How to calculate slope degrees to percent in 2 steps

  1. Slope angle (°)The slope angle from horizontal, in degrees.
  2. GradientThe tool computes the gradient from those figures and shows the formula, its sources, and a confidence rating alongside it.

Slope Degrees to Percent at common values

Page defaults, not your figures above.

Slope angle (°)Gradient (%)
11.75
23.49
35.24
58.75
1017.6
1526.8
2036.4
3057.7
45100

Frequently asked questions

Why does 45 degrees come out as 100%?
Because at 45 degrees the rise equals the run, and the percentage is rise over run times a hundred. A hundred percent slope is not vertical — it is a 1:1 slope. Vertical would be infinite percent, which is why percentages are only used for shallow gradients.
How many readings should I take along a run?
Several, spread along the whole run: for drainage, what matters is that no section falls below the minimum, not that the average does. Ground and paving are rarely uniform, and a single reading can land on a local hump or hollow.
Does this apply to roofs?
The maths does, but roofing convention uses rise-per-12 rather than percentages, and roofs are steep enough that the small-angle approximation between percent and degrees breaks down entirely. Use the pitch converters for roof work.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.