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:
- Mountain railway
The railway line's height difference between points A and B is 38.5 meters. Their horizontal distance is 3.5 km. Determine the average climb in per mille up the track. - Climb of the road
At what angle does the road rise if the climb is 8%? They rounded up for tens of minutes. - Railway descent permille
Calculate the per mille descent of the railway line in the section of 7.2 km by 21.6 m. - Penalty invoice
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? - Road ascent
The road rises by 8 m to 2000 m. Calculate its ascent in per mille. - Height difference
What height difference is overcome if we pass a road 1 km long with a pitch of 21 per mille? - Four legs of journey
A car driver covers a distance between two cities at a speed of 60 kmph and on the return, his speed is 40 kmph. He goes again from the first to the second city at twice the original speed and returns at half the original return speed. Find his average sp - Railways
Railways climb 2.8 ‰. Calculate the height difference between two points on the railway distant 5997 meters. - Alcohol in Bloodstream
If a person has 6 kg of blood, how much alcohol does he have in his blood if they measured 3 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 - 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? - 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)? - Permille of alcohol
I have 2 per mille of alcohol in my blood. How many milliliters is it when I have 5 liters of blood? - The amphitheater
The amphitheater has the shape of a semicircle, the spectators sit on the perimeter of the semicircle, and the stage forms the diameter of the semicircle. Which spectators, P, Q, R, S, and T, see the stage at the greatest viewing angle? - 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.
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