Percent value:

%

from

are

Basic value:

If

are

%

then the whole is

Percentage:

The part

from

are

Percent notations:

$1\%=\frac{1}{100}=0.01$

$100\%=\frac{100}{100}=1$

$25\%=\frac{25}{100}=\frac{1}{4}=0.25$

$x\%=\frac{x}{100}=0.01x$

Percentage formulas:

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

G : Basic value

p% : Percentage

p : Percent number

W : Percent value

$W=\frac{p\cdot G}{100}$

$p\%=\frac{W}{G}$

$p=\frac{100\cdot W}{G}$

$G=\frac{100\cdot W}{p}$

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).

Here is a list of of further useful calculators:

Index Percentage calculation Per mille calculation Interest calculation Rule of three calculation Fraction Arithmetic