# Percentage Calculator

## Percentage calculator for the basic calculations

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

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

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

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

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

## Percent example calculations

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?

### 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).

## More Calculators

Here is a list of of further useful calculators:

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