‰Per Mille is part per thousand. So, 1 mille is 1/1000 fraction. This term is commonly used in European countries, and it is used to represent fractions smaller than 1%.
The corresponding symbol is ‰. It resembles percent sign but per mille symbol has an extra 0 in the divisor.
The other accepted spellings are: permille, permil, permill, per mille, per mil, per mill.
In Latin Per Mille refers to “in each thousand”.
Per Mille is used to measure the following
Per Mille is also known as per mil. It implies parts per thousand.
1 per mille is 1/1000 fraction.
1‰= 1/1000 = 0.001
10 per mille is 10/1000 fraction.
10‰ = 10/1000 = 0.01
100 per mille is 100/1000 fraction.
100‰= 100/1000 = 0.1
1000 per mille is 1000/1000 fraction.
1000‰ = 1000/1000 = 1
Example: What is 50 per mille of 100$?
50 ‰× 100$ = 50/1000 × 100 = 5 $
To get the decimals result, divide the number by 1000 or multiplied by a fraction of 1000.
Convert per mille to decimals formula: decimals = per mille * 1/1000
For example:
5 ‰ = 5 ÷ 1000 = 0.005 or 5 ‰ = 5 * 1/1000 = 5/1000 = 1/200 = 0.005
100 ‰ = 100÷ 1000 = 0.1 or 100 ‰ = 100 * 1/1000 = (100 )/1000 = 0.1
500 ‰ = 500 ÷ 1000 = 0.5 or 500 ‰ = 500 * 1/1000 = 500/1000 = 1/2 = 0.5
1000 ‰ = 1000÷ 1000 = 1 or 1000 ‰ = 10000 * 1/1000 = 1000/1000 = 1
2000 ‰ = 2000 ÷ 1000 = 2 or 2000 ‰ = 2000 * 1/1000 = 2000/1000 = 2
To get the per mille result, just multiply the number by 1000, then you can get the answer.
Convert decimals to per mille formula: per mille = decimals * 1000
For example:
0.001 = 0.001 * 1000 = 1 ‰
0.01 = 0.01 * 1000 = 10 ‰
0.1 = 0.1 * 1000 = 100 ‰
1 = 1 * 1000 = 1000 ‰
5 = 5 * 1000 = 5000 ‰
10 = 10 * 1000 = 10000 ‰
To get percent result, divide the number by 10 or multiplied by a fraction of 10.
Convert per mille to percent formula: Percent = per mille * 1/10
For example
Convert 1 per mille to percent: 1 ‰ * 1/10 = 0.1 %
Convert 10 per mille to percent: 10 ‰ * 1/10 = 1 %
Convert 100 per mille to percent: 100 ‰ * 1/10 = 10 %
Convert 1000 per mille to percent: 1000 ‰ * 1/10 = 100 %
Convert 5000 per mille to percent: 5000 ‰ * 1/10 = 500 %
Convert Percent to per mille, you need just multiply the number by 10.
Convert percent to per mille formula: per mille = percent * 10
For example
Convert 1 percent to percent: 1 % * 10 = 10 ‰
Convert 10 percent to percent: 10 % * 10 = 100 ‰
Convert 100 percent to percent: 100 % * 10 = 1000 ‰
Convert 1000 percent to percent: 1000 % * 10 = 10000 ‰
Convert 5000 percent to percent: 5000 % * 10 = 50000 ‰
The following table shows the relation between per mille, percent and decimal.
| Per-Mille | Percent | Decimal |
| 1‰ | 0.1% | 0.001 |
| 5‰ | 0.5% | 0.005 |
| 10‰ | 1% | 0.01 |
| 50‰ | 5% | 0.05 |
| 100‰ | 10% | 0.1 |
| 500‰ | 50% | 0.5 |
| 1000‰ | 100% | 1 |
| 2000‰ | 200% | 2 |
| 5000‰ | 500% | 5 |
| 10000‰ | 1000% | 10 |
Now a day, calculations can be performed in almost all devices for ease. Following are the steps to be performed to type per mille sign in various devices.
In Personal Computer, per mille can be typed by using shortcut key ie., press alt button and numbers 0137 (can be found on the right side of the keyboard). Alt + 0137 = ‰
Or type 2030 then type ALT+x button at the same time. 2030 + Alt + x = ‰
In Mac, per mille can be typed by using shortcut key ie., press Shift and Option buttons and letter R all together. Shift + Option + R = ‰
The second way, press Control + Command + Space to open Character Viewer, then click on ‘Punctuation’ and select per mille sign.
In Word, per mille can be typed by following the below steps
In Excel or Powerpoint perform, the steps mentioned in Word to type the per mille sign.
It is very essential to know the codes of all mathematical symbols. Following are the various codes of per mille sign.
Dimensional units of different parameters can be combined to represent a separate entity in itself. PPM used in Chemical engineering uses both unit of mass (mg) and unit of volume (l) and same is an indication of concentration in a given liquid.
This is mainly used in the measurement of mass of a chemical or contaminate per unit volume of water. Its short form is PPM. It is also expressed in terms of milligrams per litre (mg/L).
1 ppm = absolute fractional amount multiplied by 1 million. It is also equal to 1 milligram (mg) of something per litre water (mg/l).
It is the number of units of mass of containment per 1000 million units of total mass. Its short form is ppb.
PPM and PPB can be converted to each other with the following relation.
1 parts per million = 1000 parts per billion.
For example, in soil, 1 ppm = 1mg/kg of containment in soil.
1 ppb = 1 ug/kg.
One measurement of 6mg/kg is similar to 6 ppm or 6000 ppb. It is equivalent to 6000ug/kg.
It is a measurement of quantity of a material in air or soil or water. Concentration of 1 PPT indicates there is 1 part of that material for every 1 trillion parts of either air or soil or water in which it is present. 1 PPT is also equivalent to 1 nanogram per kilogram.
It indicates 1 part per 1000000000000 (1012) or equivalent to 10-12. It is equal to 30 seconds out of every million years. Its short form is PPT.
Listed below are few questions which come in mind about the per mille symbol and miscellaneous dimensions.
Cost Per Mille (CPM) otherwise known as Cost Per Thousand. This term is used in Marketing. It is used to indicate the cost of 1000 impressions of the advertisement in each web page.
CPM stands for Cost Per Mille. It is otherwise known as Cost Per Thousand. It is calculated as follows divide the total cost of the advertiser with the number of impressions which was received for the advertisement and then multiply the result by 1000.
It means an invariable number.
Per mille symbol is ‰. It is written next to every number.
Per mille percentage conversion – 1 per mille = 0.1 %.
In other words, 1% = 10‰
Both PPM and PPB are the units which are used in atmospheric Chemistry to describe the concentration of gases.
It indicates per mille. Its sign is ‰. It has an extra 0 in the divisor.
This article has explained about Per Mille, its symbol and little input on miscellaneous dimensions. Hope the reader finds this article interesting.
