EN ET

Percent and Per Mille


Percentage is a unit for expressing a numerical relationship as a fraction of 100. One percent is one hundredth part of a whole. The symbol "%" is used for percentage.

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


One per mille (permille) is one thousandth part of a whole. The symbol "‰" is used for per mille.

$$1‰ = \frac{1}{1000}=0.001$$


Expressing the relationship between two numbers in percentages

What percentage does number a represent of number b:

$$\frac{a}{b}\times 100\%$$


Finding a part or percentage of a number

Find n% of number a:

$$n\%\times a = \frac{n\times a}{100}$$


Finding a number based on a given part or percentage

Find the number of which n% is b:

$$\frac{b}{n\%}=\frac{b\times 100}{n}$$


Expressing percentage change

What percentage is the change a from the initial value A:

$$\frac{a}{A}\times 100\%$$