The phrase per mille () indicates parts per thousand. The associated symbol is , similar to a per cent sign but with an extra zero in the divisor.
Major dictionaries do not agree on the spelling, permil,
The word is the cognate in Danish, Dutch, German, Finnish, Norwegian and Swedish, and is sometimes seen as a loanword in English with the same meaning as per mille.
The symbol is included in the General Punctuation block of Unicode at . There is also an Arabic-Indic per mille sign at .
Examples
Blood alcohol concentration
Promille and permille are likely best known as shorthand terms for Blood Alcohol Concentration, where 1 promille corresponds to 1 gram of alcohol per liter of blood. Promille is used in the legal limits of blood-alcohol content for driving a road vehicle in some countries: for example: 0.5‰ or 0.8‰.
Cost per mille
Sales and marketing
Cost per mille (CPM), the price of 1000 units, may be used for views of banner and display advertising, and for emails delivered by email service providers.
Insurance
In UK insurance usage, the cost per mille is the rate per £1000 of insured value. In India, the premium per mille is the rate expressed as thousandths of the sum assured.
Gradients
alt=A railroad distance and gradient sign in Gdańsk, Poland. The 50‰ grade is equivalent to 5%.|thumb|A tram and gradient sign in [[Gdańsk, Poland. The 50‰ grade is equivalent to 50m/km or 5%.]]
Gradients (in some countries in Europe) may be expressed as mm/m or m/km, and written with the per mille symbol.
Isotope ratios
Per mille may be used to express stable isotope ratios—for example: "δ<sup>13</sup>C was measured at −3.5‰".
Taxation
Charity fraction
In Italy, it is possible to nominate a charity or charities to receive "five per mille" (5‰) of personal taxation payments.
Property tax
Property taxation rates may be expressed as the millage rate (U.S.) or mill rate (Canada), from mill (currency), one thousandth of a dollar.
Quantile
Permille may also be used to express a 1000-quantile ("999th permille"), but this usage is rare and largely obsolete. Modern publications instead use fractional percentiles ("99.9th percentile").
Salinity
Seawater salinity is often expressed per mille. Average marine salinity is about 35 parts per thousand or 35‰ (3.5%).
Related units
- Percentage point difference of 1 part in 100
- Percentage (%) 1 part in 100
- Basis point (bp) difference of 1 part in 10,000
- Permyriad (‱) 1 part in 10,000
- Per cent mille (pcm) 1 part in 100,000
See also
- Parts-per notation
- Per-unit system
- Percentile
- Fineness of precious metals (given as "0.000-fine")
