Authoritative definitions of the International System of Units and SI prefixes.
Dedicated unit pair
Per mille to Parts per million
Convert ‰ to ppm instantly, then review the formula, assumptions, and rounding guidance.
Chemistry concentration unitsInstant result
Decimals
Formula result = input × 0.001 ÷ 0.000001. 1 ‰ = 1,000 ppm
Common examples
One value, several units
Fraction0.001
Percent0.1 %
Parts per million1,000 ppm
Parts per billion1,000,000 ppb
Conversion table
| ‰ | ppm |
|---|---|
| 1 ‰ | 1,000 ppm |
| 2 ‰ | 2,000 ppm |
| 5 ‰ | 5,000 ppm |
| 10 ‰ | 10,000 ppm |
| 25 ‰ | 25,000 ppm |
| 50 ‰ | 50,000 ppm |
| 100 ‰ | 100,000 ppm |
Conversion chart
1 ‰1,000 ppm
5 ‰5,000 ppm
10 ‰10,000 ppm
25 ‰25,000 ppm
50 ‰50,000 ppm
Worked example
1% equals 10,000 ppm.
Unit definition
Per mille (‰) One per mille equals 0.001 fraction.
Unit history
Per mille 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 ‰ to fraction.
3. Convert the base value to ppm and apply your display precision.
Important
Mass/volume ppm equivalence depends on solution density.
Understand the result before using it
Per mille to Parts per million converts a value measured in Per mille (‰) into the equivalent value in Parts per million (ppm). 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 × 0.001 ÷ 0.000001
Assumptions
- Per mille and Parts per million represent the same dilute-solution parts quantity.
- The input is expressed in ‰; the output is expressed in ppm.
- Mass/volume ppm equivalence depends on solution density.
Worked example
1 ‰ = 1,000 ppm. 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 ‰ measurement in a document that expects ppm.
- Compare a per mille value with a value reported in parts per million.
- Check the ‰-to-ppm 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 Per mille to Parts per million?
result = input × 0.001 ÷ 0.000001 Using the displayed relationship, 1 ‰ equals 1,000 ppm.
How many Parts per million are in one Per mille?
One Per mille is 1,000 Parts per million. The displayed digits may be rounded.
Can I reverse the ‰ to ppm conversion?
Yes. Swap the source and target units in the converter. The reverse relationship converts ppm back to ‰.
Is the Per mille to Parts per million 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.