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?
Permille (‰) = PartWhole × 1000
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:
0.5 g/l = 0.5 ‰
*(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:
10 mm1000 mm × 1000 = 10 ‰
3. Statistics (e.g. 3 ‰ unemployed):
- If a country has 3 unemployed people out of 1000 people, then:
31000 × 1000 = 3 ‰
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:
- Two municipalities
The horizontal distance between municipalities is 39 km. The average sinking is 7 permille. What is the difference in height between these municipalities? - Active substance
There are 5 ml of active substance in a 600 ml spray. How much is it per mille? - Promile
Calculate the 17.6 ‰ of 353. - Climb in percentage
The height difference between points A and B is 475 m. Calculate the percentage of route climbing if the horizontal distance between places A and B is 7.4 km.
- Five-kilogram 4112
Fertilizer for gardeners contains the following trace elements: bor. ... ..minimum 0.3promile weight. What is the smallest weight of each trace element in a five-kilogram fertilizer package? - Calculate 73024
Calculate the permille descent of the railway line in the section of 7.2 km by 21.6 m. - Kilometers 73344
How many meters will the track ascend if it is 200 kilometers long and the ascent is 7 per mille? - Railways - golden parachutes
This is an example more from political science, or even a fairy tale about carp who won't drain their pond. Let's look at the short work of the director of the Carp Railway Company: 18 months of quasi "work" as director reduction and elimination - The railway
The railway line has a gradient of 12 per mille. How many meters will it ascend to a horizontal distance of 4 km?
- Altitude difference
What is a climb permillage of the hill that is 4 km long and has an altitude difference of 6 meters? - The silver
The silver ring weighs 10 grams. The ring contains 850 per mille of pure silver. Calculate the amount of pure silver in grams. - Connecting 29841
There is a horizontal distance of 9 km between two cities on the Croatian coast. The road connecting these two cities has a climb of 13 permille. What is the height difference between Croatian cities? - Contains 36193
The silver bracelet, which has a purity of 925 per mille, contains 25.9 g of silver. What is the weight of the bracelet? - Invoiced 37073
The company paid a penalty of 7.5 ‰ for the late invoice payment. How big was the invoiced amount when the company had to pay a fine of 3441 CZK?
The road rises by 8 m to 2000 m. Calculate its ascent in per mille.more math problems »
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