**Percentage Calculation ﹣ Calculator**

Percentage calculation tasks crop up all the time in everyday life. With the online percentage calculator, you are prepared for all kinds of percentage calculations. In the calculator, you can select examples of typical questions on percentage calculation. In this way, the percentage calculator guides you intuitively to your goal.

## The most important topics for the Percentage Calculator

## Contents

## Functions of the Percentage Calculator

Aside from the usual **proportional percentage calculation**, the **percentage increase** or **decrease** of the basic value is calculated with the percentage calculator using the percentage value and percentage number. In the info text of the calculator, the calculation path to the result of the percentage calculation is explained in detail, and the corresponding percentage formula is displayed.

### Input "Typical question"

Simply select a typical question suitable for your percentage calculation in the percentage calculator. According to the subdivision of the example questions, the percentage calculator offers different calculation types: In addition to the normal percentage calculation, there is also the possibility of calculating the percentage increase or decrease of the base value using percentage number and percentage value.

### Input "Enter your values"

You can replace the example values given in the questions **with your own values** under "Enter your values" in order to carry out
your own individual percentage calculation.

Depending on the typical question selected for the percentage calculation, the percentage calculator provides different input fields.

### The concepts of percentage calculation in practical examples

Example | Basic Value | Percentage Value | Percentage (%) |
---|---|---|---|

5 is 20% of 100 | 100 | 5 | 20 |

110 is 110% of 100 | 100 | 110 | 110 |

15 is a 50% reduction from 30 | 30 | 15 | 50 |

### Example 2: Proportional Calculation - Calculation of the Percentage

#### Percentage task

Here, the following question was selected with the percentage calculator, which can then be substantiated with your own figures:

What percentage is 12 out of 120? |

#### Percentage formula

Percentage Value / Basic Value × 100 = Percentage |

#### Concrete percentage calculation

With a percentage value of 12 and a base value of 120, the Percentage Calculator performs the following concrete calculation for the percentage:

12 / 120 × 100 = 10 |

#### Solution

12 out of 120 is 10 percent. |

#### Application example

A question from everyday life could be: A bank statement shows an interest charge of 240 euros for the previous year. The loan amount for the instalment credit is still 6,000 euros. What is the interest rate? The calculation: €240 / €6,000 × 100 = 4%.

### Example 3: Proportional Calculation - Calculation of the Basic Value

#### Percentage task

The following question can be selected with the percentage calculator and then assigned your own figures:

12 is 10 percent of how much? |

#### Mathematical formula for calculating

Percentage Value / (Percentage/100) = Basic Value |

#### Concrete percentage calculation

With a percentage value of 12 and an amount of 10 percent, the percentage calculator performs the following concrete calculation for the basic value:

12 / (10/100) = 120 |

#### Solution

12 is 10 percent of 120. |

#### Application example

Here is another example: The borrower finds the interest charge of 240 euros on the statement of account; he also knows that he is supposed to pay 4 percent per year on the outstanding balance. How much is left? The calculation: €240 / 4 percent = €6,000

### Example 5: Percentage Increase - Calculation of the Percentage

#### Percentage task

The following question can be selected with the calculator and then assigned your own figures:

How many percent more is 132 compared to 120? |

The percentage to be calculated is the percentage increase.

#### Mathematical formula

According to the percentage task or question posed here, the online calculator uses the following general formula to calculate the percentage:

(Percentage Value / Basic Value − 1) × 100 = Percentage |

#### Concrete percentage calculation

With a percentage value of 132 and a basic value of 120, the calculator performs the following concrete calculation for the percentage:

(132 / 120 − 1) × 100 = 10 |

#### Solution

132 compared to 120 is 10 percent more. |

#### Application example

An example from everyday life: A public-service employee wants to check how much the percentage salary increase on his pay slip is. Up to now, he has earned a gross salary of 3,000 euros, now 3,150 euros is shown. The calculation: (€3,150 / €3,000 − 1) × 100 = 5%.

### Example 6: Percentage Increase - Calculation of the Basic Value

#### Percentage task

The following question can be selected with the tool and then substantiated with your own figures:

132 is 10 percent more than how much? |

#### Mathematical formula

According to the percentage task or question posed, the tool uses the following calculation formula for the basic value:

Percentage Value / (1 + (Percentage/100)) = Basic Value |

#### Concrete percentage calculation

With a percentage value of 132 and a percentage in the amount of 10 percent, our calculator performs the following concrete calculation for the basic value:

132 / (1 + (10/100)) = 120 |

#### Solution

132 is 10 percent more than 120. |

#### Application example

Here is another example from everyday life: In Germany, the average price of a liter of diesel this year was 1.10 euros, which is a 4 percent increase compared to the previous year. What was the price last year? The calculation: €1.10 / (1 + 4/100) = €1.10 / 1.04 = €1.058.

### Example 8: Percentage Decrease - Calculation of the Percentage

#### Percentage task

The following question can be selected with the online calculator and then backed up with your own figures:

How many percent less is 120 compared to 132? |

#### Percentage formula

The percentage calculator uses the following general calculation formula for the percentage to suit the percentage task or question at hand:

(Basic Value / Percentage value − 1) × 100 = Percentage |

#### Concrete percentage calculation

With a basic value of 120 and a percentage value of 132, the percentage calculator performs the following concrete calculation for the percentage:

(120 / 132 − 1) × 100 = -9.090909... |

#### Solution

120 compared to 132 is 9.090909... percent less. |

### Example 9: Percentage Decrease - Calculation of the Basic Value

#### Percentage task

The following question can be selected with the percentage calculator and then assigned your own figures:

120 is 10 percent less than how much? |

#### Mathematical formula

The percentage calculator uses this formula for the calculation of the percentage task or question at hand:

Percentage Value / (1 − Percentage/100) = Basic Value |

#### Concrete percentage calculation

With a percentage value of 120 and a percentage in the amount of 10 percent, the percentage calculator performs the following concrete calculation for the basic value:

120 / (1 − 10/100) = 133.333333... |

#### Solution

120 is 10 percent less than 133.333333... |

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## Source information

As source for the information in the 'Percentage Calculation' category, we have used in particular:

## Last update on February 20, 2023

The pages of the 'Percentage Calculation' category were last editorially reviewed by Michael Mühl on February 20, 2023. They all correspond to the current status.

### Previous changes on December 16, 2020

- 16.12.2022: Publication of the Percent Calculator
- Editorial revision of all texts in this category