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Per mille (from
Latin Latin (, or , ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through ...
, "in each thousand") is an expression that means parts per thousand. Other recognised spellings include per mil, per mill, permil, permill, or permille. The associated sign is written , which looks like a
percent sign The percent sign (sometimes per cent sign in British English) is the symbol used to indicate a percentage, a number or ratio as a fraction of 100. Related signs include the permille (per thousand) sign and the permyriad (per ten thousand) ...
with an extra zero or o in the
divisor In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible or evenly divisible by ...
. The term occurs so rarely in English that major dictionaries do not agree on the spelling and some major dictionaries such as ''
Macmillan MacMillan, Macmillan, McMillen or McMillan may refer to: People * McMillan (surname) * Clan MacMillan, a Highland Scottish clan * Harold Macmillan, British statesman and politician * James MacMillan, Scottish composer * William Duncan MacMillan ...
'' do not even contain an entry. The term is more common in other European languages where it is used to express fractions smaller than 1%. One common usage is blood alcohol content, which is usually expressed as a
percentage In mathematics, a percentage (from la, per centum, "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also use ...
in English-speaking countries. Per mille should not be confused with parts per million (ppm).


Computer systems

The code point for the glyph is included in the General Punctuation block of
Unicode Unicode, formally The Unicode Standard,The formal version reference is is an information technology standard for the consistent encoding, representation, and handling of text expressed in most of the world's writing systems. The standard, ...
characters: .Unicode.
General Punctuation
. 2014. Accessed 5 Aug 2014.
It may be typed using , , , or according to
operating system An operating system (OS) is system software that manages computer hardware, software resources, and provides common daemon (computing), services for computer programs. Time-sharing operating systems scheduler (computing), schedule tasks for ef ...
. Note that for the compose key sequence the percent key (%) is followed by lower case letter o and not, as might be expected, by digit 0.


Examples

Examples of use include: * Legal limits of blood-alcohol content for driving a road vehicle in some countries: for example: 0.5‰ or 0.8‰. * Seawater salinity: for example: "the average salinity is 35‰". * Tunnel and
railway Rail transport (also known as train transport) is a means of transport that transfers passengers and goods on wheeled vehicles running on rails, which are incorporated in tracks. In contrast to road transport, where the vehicles run on a p ...
gradients (in some countries in
Europe Europe is a large peninsula conventionally considered a continent in its own right because of its great physical size and the weight of its history and traditions. Europe is also considered a Continent#Subcontinents, subcontinent of Eurasia ...
). * Birth and
death rate Mortality rate, or death rate, is a measure of the number of deaths (in general, or due to a specific cause) in a particular population, scaled to the size of that population, per unit of time. Mortality rate is typically expressed in units of d ...
s. * Baseball batting averages (colloquially). *
Property tax A property tax or millage rate is an ad valorem tax on the value of a property.In the OECD classification scheme, tax on property includes "taxes on immovable property or net wealth, taxes on the change of ownership of property through inher ...
ation rates: the ''millage rate'' ( U.S.) or ''mill rate'' (
Canada Canada is a country in North America. Its ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, covering over , making it the world's second-largest country by to ...
). * Expressing stable-isotope ratios—for example: "δ13C was measured at −3.5‰". * Fineness of precious metals. * 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.


Related units

* Percentage point difference of 1 part in 100 *
Percentage In mathematics, a percentage (from la, per centum, "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also use ...
(%) 1 part in 100 *
Basis point A basis point (often abbreviated as bp, often pronounced as "bip" or "beep") is one hundredth of 1 percentage point. The related term ''permyriad'' means one hundredth of 1 percent. Changes of interest rates are often stated in basis points. If ...
(bp) difference of 1 part in 10,000 *
Permyriad A basis point (often abbreviated as bp, often pronounced as "bip" or "beep") is one hundredth of 1 percentage point. The related term '' permyriad'' means one hundredth of 1 percent. Changes of interest rates are often stated in basis points. If ...
(‱) 1 part in 10,000 *
Per cent mille A per cent mille or pcm is one one-thousandth of a percent. It can be thought of as a "milli-percent". It is commonly used in epidemiology, and in nuclear reactor engineering as a unit of reactivity. Epidemiology Statistics of crime rates, morta ...
(pcm) 1 part in 100,000


See also

* Parts-per notation *
Per-unit system In the power systems analysis field of electrical engineering, a per-unit system is the expression of system quantities as fractions of a defined base unit quantity. Calculations are simplified because quantities expressed as per-unit do not chan ...
*
Percent point function In probability and statistics, the quantile function, associated with a probability distribution of a random variable, specifies the value of the random variable such that the probability of the variable being less than or equal to that value ...
* Fineness of precious metals (given as "0.000-fine")


References


External links

* {{DEFAULTSORT:Per Mil 1000 (number) Typographical symbols