Per Mille Calculator (‰) 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:
- 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? - Climb of the road
At what angle does the road rise if the climb is 8%? They rounded up for tens of minutes. - Slope of track
Calculate the average gradient (in per mille and in degrees) of the railway tracks between Prievidza (309 m above sea level) and Horná štubňa (624 m above sea level), given that the track is 37 km long. - Road
Between cities A and B there is a route 9 km long with an average gradient of 9‰ klesanie. Calculate the height difference between cities A and B. - River
Calculate the average gradient in per mille of river Hudson, given that along a 952 km section the water flows from 1231 m above sea level down to 131 m above sea level. - Gold coin
The gold coin contains 966 permille pure gold, which is 8.7 g. What is the weight of the coin in grams? - Alcohol density
4.8g / l a) what is mg / l b) What is per mille if the density of alcohol is 80% of the density of blood (water)? - Insect spraying In 600 ml of spraying is 5 ml of an active ingredient. How much is it per mile?
- AMSL and skiing
Tomas skis from point A (3200m above sea level) to place B. The Hill has a 20% descent. The horizontal distance between the start and finish is 2.5 km. At what altitude is point B? - Per mille decimal
Write the per mille as a decimal number 2 ‰ 50 ‰ 2.5 ‰ 0.6 ‰ - Invoice penalty
The company paid a total of CZK 38,152, including penalties, for the late payment of the invoice. The penalty was 4 ‰. a) how much was the invoiced amount (without penalty)? b) how big was the penalty? - Percentage conversion
Express a drop of 8 percent per mille. - Drive to NJ
Ed drove to New Jersey at 30 mph. He drove back home in 3 hours at 50 mph. How many hours did it take Ed to drive to New Jersey? - Two municipalities
The horizontal distance between municipalities is 39 km. The average sinking is 7 per mille. What is the difference in height between these municipalities? - Cable car
Find the elevation difference of the cable car when it rises by 67 per mille, and the rope length is 930 m.
more math problems »
Frequently searched permille calculations
