Permille calculator

Complete the row that represents your percentage problem.

A permille (also spelled *per mil*, *per mill*, or *promille*) is a unit of measure that represents one part per thousand (1/1000 or 0.001). It is denoted by the symbol ‰ (similar to how a percent (%) represents 1/100).

Key Uses of Permille (‰):

1. Alcohol in Blood
- Example: A blood alcohol concentration (BAC) of 0.5 ‰ means 0.5 grams of alcohol per liter of blood.

2. Slopes (Engineering/Transport)
- Example: A train track with a 10 ‰ slope rises 10 meters per kilometer (or 1 cm per meter).

3. Demographics & Statistics
- Example: A birth rate of 12 ‰ means 12 births per 1,000 people in a population.

How to Calculate Permille?

What is ‰ of ?
is what permille of ?
is ‰ of what?
The fraction / is what permille?
‰ increase of is
‰ decrease of is
‰ is what fraction/number?
What is the permille increase/decrease from to ?
Climb/descent of ‰ is what angle in degrees?
Climb/descent of degrees is what permille?
If a goods sells for after a ‰ markdown, what was its original price?

Calculation examples:

1. Blood alcohol (e.g. 0.5 ‰):
- If a person has 0.5 grams of alcohol per 1 liter of blood in their blood, this means:

*(Because 1 per mille = 1 gram of alcohol per liter of blood.)*

2. Track gradient (e.g. 10 ‰):
- If the train climbs 10 mm per 1 meter of track, then:


3. Statistics (e.g. 3 ‰ unemployed):
- If a country has 3 unemployed people out of 1000 people, then:

How ​​to convert between per mille and percentages?

- 1 % = 10 ‰ (because 1% = 1/100, 1‰ = 1/1000)

Example:
- 5 % = 50 ‰
- 20 ‰ = 2 %

Where is per mille used?

- Blood alcohol (0.5 ‰ = driving limit in many countries).
- Transport: Road/track gradient.
- Statistics: E.g. birth rate, death rate per 1000 population.

Per mille in word problems:

• Lift
  The largest angle at which the lift rises is 16°31'. Give climb angle in permille.
• Drunk and alcohol
  One drunk measured 2.7 ‰ of alcohol in the blood, another 1.75 ‰. How many grams of alcohol in the blood do they have if they had 6 kg of blood?
• Fuel mileage
  You have a 3/8 tank of fuel. Estimate fuel consumption at 6 mpg. Estimate speed at 50 mph. Your fuel tank holds 200 gals. Figure out fuel mileage.
• Cablecar
  Funicular on Petrin (Prague) was 408 meters long and overcame the difference of 106 meters in altitude. Calculate the angle of the climb.

• Down syndrome
  Down syndrome is one of the serious diseases caused by a gene mutation. Down syndrome occurs in approximately every 550-born child. Express the incidence of Down's syndrome in newborns at per mille.

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