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:

• Active substance
  There are 5 ml of active substance in a 600 ml spray. How much is it per mille?
• Climb
  For horizontal distance 3 km, road rise by 4.6 m. Calculate the road pitch in ‰ (permille, parts per thousand).
• Substance solution
  During spraying, there are 4 per mille of active substance per 6 l of water. How many ml of active substance do we add to the spray?
• Kilometers 73344
  How many meters will the track ascend if it is 200 kilometers long and the ascent is 7 per mille?
• A car miles
  A car begins heading along a path at 50 mph. A second car begins an hour later, along the same path traveling at 70 mph. For how long will the first car travel when the second car overtakes it?

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