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:
- Active substance
There are 5 ml of active substance in a 600 ml spray. How much is it per mille? - Track ascent meters
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 silver
The silver ring weighs 10 grams. The ring contains 850 per mille of pure silver. Calculate the amount of pure silver in grams. - Silver bracelet
The silver bracelet, which has a purity of 925 per mille, contains 25.9 g of silver. What is the weight of the bracelet? - Road ascent
The road rises by 8 m to 2000 m. Calculate its ascent in per mille. - Descent of road
A road sign shows a gradient of 10.9%. Calculate the angle of inclination of the slope. - Height difference
What height difference is overcome if we pass a road 1 km long with a pitch of 21 per mille? - Gold extraction
There are 1.2 per mille of gold in the rock. How many grams of gold will they get from 45 tons of raw material? - 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? - Gold Ring Weight
14-carat gold. ... .585 per mille. In one kg. ... .585 g gold. If the weight of pure gold in a ring is 7.2 g, how much does the ring weigh? - Installment late fee
It is to be paid annually 12x 1935 CZK. The third installment is not paid - it is 2.5 per mille per day. What debt will be incurred at the end of the year? - Somebody
Somebody spends 5% of his wages on school fees. That amounts to 800 shillings. How much does he earn? - 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)? - Cablecar
Funicular on Petrin (Prague) was 408 meters long and overcame the difference of 106 meters in altitude. Calculate the angle of the climb.
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