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:
- Railway
The railway line had a 5.8 km segment climb nine permille. How many meters does the track ascent? - Car crash
After a traffic accident, police measured 1.16 permille of alcohol in the driver's blood. About 5 kg of blood circulates in the human body. What amount of alcohol did the driver have in the blood? - Decimal 26301
Write the per mille as a decimal number 2 ‰ 50 ‰ 2.5 ‰ 0.6 ‰ - Graduation of the track
The gradient of the track is 9 per mile, and the distance per kilometer (on the slope) [AC] = is 560m. Determine the angle alpha and the distance [AB] = the height between A and B. A / | B/____________C - Drunk man
The drunk man has 2.6‰ of alcohol in his blood. How many grams of alcohol has in his blood if he has 5 kg of blood? - Calculate 13631 Calculate 1.5 ‰ out of 85% out of 240
- 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
- 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? - Three examples per-mille A. Calculate 1.5 ‰ from 4.5 liters of blood. Express the result in milliliters. B. Calculate three ‰ from € 50,000. C. The tray they brought breakfast to the landlord's bed is made of an alloy that contains 830 ‰ of silver. How much silver did they use on
- Insect spraying In 600 ml of spraying is 5 ml of an active ingredient. How much is it per mile?
- Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - Height difference
What height difference is overcome if we pass a road 1 km long with a pitch of 21 per mille? - Density 3701
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)? - Drive to NJ
Ed drove to New Jersey at 30mph. He drove back home in 3 hours at 50 mph. How many hours did it take Ed to drive to New Jersey? - 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?
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