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 climbs 8 permille between points A and B, whose horizontal distance is 1.5 km. It climbs 14 permille between points B and C, which have a horizontal distance of 900 m. Calculate the differences in altitudes between points A and C. - Dividends
The three friends divided the win by the invested money. Karlos got three-eighths, John 320 permille, and the rest got Martin. Who got the most, and which got the least? - Minutes 7700
At what angle does the road rise if the climb is 8%? They rounded up for tens of minutes. - Spray - mixture
4 per mille of active ingredient is needed per 6 liters of water to prepare sprays. How many milliliters of active substance do we add to the sprays? - Measured 6023
If a person has 6 kg of blood, how much alcohol does he have in his blood if they measured 3 per mille? - 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. - 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?
- Two trains 14
Two trains running in the same direction at 40kmph and 22kmph completely pass one another in 1 minute. If the length of the first train is 125m, find the length of the 2nd train. - Lift
The largest angle at which the lift rises is 16°31'. Give climb angle in permille. - Beer permille
In the 5 kg of the blood of an adult human after three 10° beers consumed in a short time is 6.6 g of alcohol. How much is it per mille? - The speed problem
Convert 540 meters/minute to kilometer/hour (m/min to kmph). - 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 - 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? - Avg speed 2
A car covers four successive 3 km stretches at 10 kmph, 20 kmph, 30 kmph, and 60 kmph, respectively. What is the average speed over this distance? - Road
Between cities, A and B is a route 9 km long of average 9‰ klesanie. Calculate the height difference between cities A and B.
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