icon-Bruch Percentage calculation

Percent notations

1% = 1 100 = 0.01

100% = 100 100 = 1

25% = 25 100 = 1 4 = 0.25

x% = x 100 = 0.01x

With the following abbreviations the formulas for calculating percentages can be written clearly.

  • G : Basic value
  • p%: Percentage
  • p : Percent number
  • W : Percent value

W =pG100

p% =WG

p =100WG

G =100Wp

Slope in percent

The indication of a slope or a gradient in percent indicates how much the altitude changes in relation to the horizontal distance. For example, 10% slope are reached per 100m horizontally 10m vertical. This corresponds to an angle of 5.7 °. The angle is given by arctan (p / 100).


Percentage is the indication of ratios in a multiple of one hundredth of a whole. The hundredth is indicated by the % symbol and is equivalent to 1 100 . The specification of a number n% with the following percentage sign indicates that it is n hundredths of a whole. The statement makes sense only if the totality is indicated with. Background of the percentage calculation is to make size ratios comparable. For this purpose, the ratios are given with respect to the basis hundred.


p% = p 100

In addition to the % operator and the spellings per cent and per cent are (of hundreds) used.

Example of percentages

5% = 5per cent = 5 100 = 0.05

5 % are 51100

Terms of percentage calculation

Percent value =Basic valuePercentage

The basic value, as the whole, multiplied by a percentage gives the percentage value of the whole. If for example a running track is 42km long, then 10% of the running track are given by 4210100=4.2

Basic value =Percent valuePercentage

The percent value and the corresponding percentage of the whole can be used to determine the basic value. How long, for example, is the total distance if 4.2km are 10% : 4.210010=42

Percentage =Percent valueBasic value

The percentage is obtained by dividing the percent value and the total. Is the track portion 4.2km and the total distance is 42km then 4.2km match to 4.242=110=10%

Percent calculator

From the Students of a class are ill. How many percent of the students are they?

In a class are girls, that are % of the students. How many students have the class as a whole?

A canteen receives a delivery of meat at the price of $ a discount of %. How much is the discount and how expensive is the meat?

% of a money sum are $. What is the total sum?

The list price of a car is $. The customer gets the car for $. How much percent is this price below the list price?

An employee receives after deduction of % charges a net salary of $. What is the gross salary?

A repair costs $. Join in % VAT. What is the total amount?

An amount of $ is invested for one year at an interest rate of %. How much is the interest income and how much is the total amount after one year?

An amount of $ is invested for two years at an interest rate of %. What is the interest yield if the interest is added to the credit after one year and what is the total amount after two years?

A slope of % corresponds to which angle?

A vehicle drives minutes at a slope of % with a speed of km/h. What difference in height does the vehicle cover?

voters participated in a election. This corresponds to an electoral participation of %. The XPU party achieved a result of %. How many percent of the electorate voted the party?