Per mille (‰): meaning, notation, history and common uses
Per mille (‰) denotes parts per thousand. This entry explains the symbol, numeric conversions, history, notation variants, and common applications such as salinity, blood alcohol, finance, and scientific measurements.
Overview
The term per mille (often written per mille, permille or per mil) indicates parts per thousand. It expresses a ratio in which one unit equals one thousandth of a whole. The symbol is ‹‰› (Unicode U+2030) and resembles a percent sign (%) with an additional zero in the divisor. In plain words, 1‰ = 1/1,000 = 0.001.
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Per mille values appear either with the symbol immediately after a number (for example 5‰) or spelled out as "per thousand." Conversions help compare scales:
- 1‰ = 0.1% (one tenth of a percent)
- 1‰ = 0.001 in decimal form
- 1‰ = 1,000 ppm (parts per million) — see parts per million (ppm) for that scale
History and name
The phrase derives from Latin roots: "per" (for each) and "mille" (thousand). The symbol and concept evolved from notations used in bookkeeping and scientific measurement as practitioners sought compact ways to record ratios smaller than percent. The dedicated symbol gained formal encoding in modern character sets and is supported by standard fonts and Unicode.
Common uses and examples
Per mille is used where thousandths are a convenient unit of measure. Typical examples include:
- Salinity of water (parts per thousand), e.g., ocean average close to 35‰
- Blood alcohol concentration in some countries, expressed in ‰ rather than percent
- Interest rate spreads or fees stated per thousand in finance and insurance
- Geological or materials analyses where composition is small but larger than ppm
For comparison with the more familiar percent (%), remember that percent indicates parts per hundred; per mille indicates parts per thousand, ten times smaller increments.
Usage notes and distinctions
Writers may prefer words ("per thousand") in prose to avoid unfamiliar symbols. Spellings vary by region and style guide. While compact, the ‰ sign is less common in everyday U.S. texts than in scientific or technical contexts. When high precision is required, authors choose between percent, per mille and ppm according to the magnitude of the quantity being reported.
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Author
AlegsaOnline.com Per mille (‰): meaning, notation, history and common uses Leandro Alegsa
URL: https://en.alegsaonline.com/art/75731
Sources
- dictionary.cambridge.org : per mille
- oxforddictionaries.com : per mille
- unicode.org : General Punctuation