Skip to content

How-to guide

How to Calculate Per Mille (‰): Formula, Steps & Examples

Learn how to calculate Per Mille (‰) — the formula explained step by step, with worked examples and a free calculator to check your answer.

By Vikram Iyer, M.Sc Mathematics · Updated Jun 2026 · 2 min read

Calculating your per mille (‰) is straightforward once you know the Per Mille (‰) formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Per Mille (‰) Calculator.

What is Per Mille (‰)?

The Per Mille (‰) calculation tells you your per mille (‰) from a few simple inputs. The figure you are solving for here is the per mille (‰).

The Per Mille (‰) formula

The core formula is:

Per mille (‰) = Part value ÷ Total value × 1000

Here is what each input means:

  • Part value — a number. Example: 15.
  • Total value — a number. Example: 2,000.

How to calculate it step by step

  • Write down the part value (for example, 15).
  • Write down the total value (for example, 2,000).
  • Apply the formula above to get your per mille (‰).
  • Double-check the result with the Per Mille (‰) Calculator.

Worked examples

Example 1

Input / OutputValue
Part value15
Total value2,000
Per mille (‰)7.5000
As a percentage0.7500%

With part value of 15 and total value of 2,000, the per mille (‰) works out to 7.5000.

Example 2

With part value of 30 and total value of 2,000, the per mille (‰) works out to 15.0000.

ResultValue
Per mille (‰)15.0000
As a percentage1.5000%

Example 3

With part value of 7.5 and total value of 2,000, the per mille (‰) works out to 3.7500.

ResultValue
Per mille (‰)3.7500
As a percentage0.3750%

Tips for an accurate result

  • Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
  • Round only at the very end. Rounding inputs early can shift the final answer noticeably.
  • Re-run the numbers whenever an input changes, rather than estimating from an old result.

Prefer not to do the maths by hand? — the Per Mille (‰) Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring math calculators with these tools: Margin of Error Calculator, Sample Size Calculator, Confidence Interval Calculator, Coefficient of Variation Calculator, Regular Heptagon Area Calculator.

Calculators in this guide

Frequently asked questions

The formula is: Per mille (‰) = Part value ÷ Total value × 1000. With part value of 15 and total value of 2,000, the per mille (‰) works out to 7.5000.

Gather each input, apply the formula step by step keeping your units consistent, and round only at the end. You can verify your answer instantly with the Per Mille (‰) Calculator.

It uses the standard formula with exact arithmetic, so the result is correct for the inputs you enter. Bear in mind that real-world outcomes can still differ when underlying assumptions change.

Vikram Iyer · M.Sc Mathematics

Vikram Iyer is a mathematics educator with over fifteen years of teaching experience, specialising in making quantitative concepts clear and practical for everyday use.