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?

What is ‰ of ?
is what permille of ?
is ‰ of what?
The fraction / is what permille?
‰ increase of is
‰ decrease of is
‰ is what fraction/number?
What is the permille increase/decrease from to ?
Climb/descent of ‰ is what angle in degrees?
Climb/descent of degrees is what permille?
If a goods sells for after a ‰ markdown, what was its original price?

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:

*(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:


3. Statistics (e.g. 3 ‰ unemployed):
- If a country has 3 unemployed people out of 1000 people, then:

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:

• 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?
• 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
• Including 37251
  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?
• Gradient of the railway
  Calculate the gradient of the railway line, which has an elevation of 22.5 meters in a section of 1.5 kilometers. For railways, the result is given in h (per mille).
• A car miles
  A car begins heading along a path at 50 mph. A second car begins an hour later, along the same path traveling at 70 mph. For how long will the first car travel when the second car overtakes it?
• The speed problem
  Convert 540 meters/minute to kilometer/hour (m/min to kmph).
• The tourist
  A man traveled a distance of 61 km in 9 hours. He traveled partly on foot at 4 kmph and party on bicycle at 9 kmph. Find the distance traveled on foot.
• 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
• Beer
  After three 10° beers consumed in a short time, there is 5.2 g of alcohol in 5 kg adult human blood. How much is it per mille?
• Climb in percentage
  The height difference between points A and B is 475 m. Calculate the percentage of route climbing if the horizontal distance between places A and B is 7.4 km.
• 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?
• Necessary 8380
  With cream with a fat content of 36% and milk with a fat content of 3.85%, it is necessary to make 65 liters of whipped cream with a fat content of 33%. How many liters of each of the raw materials do we need?
• Calculate 39313
  The road rises by 8 m to 2000 m. Calculate its ascent in per mille.
• Installment 62884
  It is to be paid annually 12x 1935 CZK. The third installment is not paid - it is 2.5 permille per day. What debt will be incurred at the end of the year?
• Height difference
  What height difference is overcome if we pass a road 1 km long with a pitch of 21 per mille?

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