Authoritative definitions of the International System of Units and SI prefixes.
Dedicated unit pair
Parts per million to Per mille
Convert ppm to ‰ instantly, then review the formula, assumptions, and rounding guidance.
Chemistry concentration unitsInstant result
Decimals
Formula result = input × 0.000001 ÷ 0.001. 1 ppm = 0.001 ‰
Common examples
One value, several units
Fraction0
Percent0.0001 %
Per mille0.001 ‰
Parts per billion1,000 ppb
Conversion table
| ppm | ‰ |
|---|---|
| 1 ppm | 0.001 ‰ |
| 2 ppm | 0.002 ‰ |
| 5 ppm | 0.005 ‰ |
| 10 ppm | 0.01 ‰ |
| 25 ppm | 0.025 ‰ |
| 50 ppm | 0.05 ‰ |
| 100 ppm | 0.1 ‰ |
Conversion chart
1 ppm0.001 ‰
5 ppm0.005 ‰
10 ppm0.01 ‰
25 ppm0.025 ‰
50 ppm0.05 ‰
Worked example
1% equals 10,000 ppm.
Unit definition
Parts per million (ppm) One parts per million equals 0.000001 fraction.
Unit history
Parts per million is represented here using its modern SI definition or an internationally accepted relationship to an SI base unit.
Step by step
1. Parse the value, including fractions.
2. Convert ppm to fraction.
3. Convert the base value to ‰ and apply your display precision.
Important
Mass/volume ppm equivalence depends on solution density.
Understand the result before using it
Parts per million to Per mille converts a value measured in Parts per million (ppm) into the equivalent value in Per mille (‰). The numerical value changes because the size and definition of the selected unit changes; the underlying quantity does not.
Calculated result
The conversion follows the displayed unit relationship. Display rounding can hide additional digits, and measured inputs cannot become more accurate merely by changing units.
Formula, assumptions, and example
Formula
result = input × 0.000001 ÷ 0.001
Assumptions
- Parts per million and Per mille represent the same dilute-solution parts quantity.
- The input is expressed in ppm; the output is expressed in ‰.
- Mass/volume ppm equivalence depends on solution density.
Worked example
1 ppm = 0.001 ‰. For another value, apply the same relationship and round only to the precision your source measurement supports.
When to use it
Good uses
- Read a ppm measurement in a document that expects ‰.
- Compare a parts per million value with a value reported in per mille.
- Check the ppm-to-‰ arithmetic before copying the result into another calculation.
Limitations
Common mistakes to avoid
- A ppm value is not automatically a mass-per-volume value; the equivalence depends on density and how concentration is defined.
- Round the output to a precision justified by the original measurement.
- Verify safety-critical, regulated, laboratory, and contractual conversions against the controlling standard.
Sources and further reading
These references explain the underlying standards or provide authoritative context. Your own contract, institution, clinician, product documentation, local code, or governing standard may be the controlling source.
Guidance on unit names, symbols, conversions, and numerical presentation.
Questions about this calculation
How do I convert Parts per million to Per mille?
result = input × 0.000001 ÷ 0.001 Using the displayed relationship, 1 ppm equals 0.001 ‰.
How many Per mille are in one Parts per million?
One Parts per million is 0.001 Per mille. The displayed digits may be rounded.
Can I reverse the ppm to ‰ conversion?
Yes. Swap the source and target units in the converter. The reverse relationship converts ‰ back to ppm.
Is the Parts per million to Per mille result exact?
The conversion follows the displayed unit relationship. Display rounding can hide additional digits, and measured inputs cannot become more accurate merely by changing units.