# What's fifteen percent of two thousand

## Percentage calculator - easily and conveniently calculate% percentages

### The most important topics about the percentage calculator

### Functions of the percentage calculator

In addition to the most common **proportional percentage calculation** is also the calculation around the percentage **increase** or **Decrease** of the basic value using the percentage value and percentage with the percentage calculator. In the info text of the calculator, the calculation method for the result of the percentage calculation is derived in detail and the associated percentage formula is displayed.

### Calculator ↑ Contents ↑ Input help for the percentage calculator

The following entries are required in the percentage calculator for the percentage calculation:

### Input "typical question"

Simply select a typical question suitable for your percentage calculation in the percentage calculator. According to the subdivision of the sample questions, the percentage calculator offers different types of calculation: In addition to the normal proportion calculation, it is also possible to calculate the percentage increase or decrease in the base value using percentage and percentage value.

### Input "enter your values"

You can use the sample values given in the questions under "Enter your values" **replace with your own values**to do your individual percentage calculation.

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

### Calculator ↑ Contents ↑ What is the percentage formula?

The percentage calculation can of course be expressed as a formula. The terms for the percentage calculation are defined as follows:

- Base value G: The output value that corresponds to 100% and to which the percentage relates.
- Percentage W: The value derived from the base value as a percentage.
- Percentage p: The proportion of the percentage value in the base value, expressed as a percentage.
- Percentage sign: The symbol "%" after the percentage number.

The general percentage formula for calculating the percentage value W is:

**Percentage = base value × percentage / 100**

or**W = G × p**

This equation can now be changed as required, depending on which variable is known and which is not. For example, if you want to calculate the basic value, you can enter percentage and percentage values in the calculator. The percentage calculator therefore optionally calculates the percentage value, the basic value or the percentage. Two of these quantities must be specified in order to calculate the third quantity.

### Calculator ↑ Contents ↑ Definition of the technical terms

The terms base value, percentage value and percentage (also percentage) form the basis of all formulas of the percentage calculation. The percentage and base value always have the same unit (e.g. kg or euros), while the percentage is a simple number. In the percentage calculator, as in general, two of the three values can be used for each question in order to calculate the third.

### Calculator ↑ Contents ↑ What is the basic value in the percentage calculation?

In the percentage calculation, the base value is the output variable that corresponds to 100 percent and to which the percentage relates. This value is abbreviated with a G in formulas.

### Calculator ↑ Contents ↑ How is the percentage value defined?

The percentage value has the same unit as the basic value (e.g. kg or euros). The percentage value can be smaller or larger than the basic value. The percentage value is the value derived from the base value according to the percentage. This value / amount is abbreviated with a W in formulas.

### Calculator ↑ Contents ↑ What is the percentage?

The percentage is the proportion of the percentage value in the base value, expressed as a percentage. The percentage indicates the ratio of the two quantities in hundredths. In formulas, the percentage is abbreviated with a p. Colloquially, this value is also known as a percentage and the percentage sign is always used for identification. Percentages can also be represented well in decimal notation:

19 percent = 19/100 = 0.19

119 percent = 119/100 = 1.19

In accounting, for example, this simplifies the conversion of net amounts into gross amounts, i.e. taking VAT into account and, conversely, also deducting VAT.

### The terms for calculating percentages in practical examples

example | Core value | Percentage | 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 % |

### Calculator ↑ Contents ↑ Examples for calculating percentages including formulas

The total of nine questions that can be selected in the percentage calculator cover the typical tasks for calculating percentages:

- Calculation of the share of a value in percent
- Determination of the percentage increase in a value
- or the percentage decrease in an amount

For these tasks, one of the three values is calculated using the other two set values with the percentage calculator.

The formula for the percentage calculation can be changed as follows:

If the basic value is unknown: | Base value = percentage value × 100 / percentage |

If the percentage should be calculated: | Percentage = base value × percentage / 100 |

If the percentage is missing: | Percentage = percentage value × 100 / base value |

### Calculator ↑ Contents ↑ Example 1: Proportion calculation - calculation of the percentage

#### Percent problem

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

What is 10 percent of 120? |

#### Math formula to calculate

Percentage / 100 × base value = percentage value |

#### Concrete percentage calculation

With a percentage of 10 percent and a base value of 120, the percentage calculator performs the following specific calculation for the percentage value:

10/100 × 120 = 12 |

#### solution

10 percent (percent sign) of 120 is 12. |

#### Application example

In practice, such a calculation often occurs with home financing loans: A loan amount should be repaid with an initial 2%. What is the annual repayment with a financing amount of 400,000 euros? The calculation: 2 percent × € 400,000 = € 8,000

### Example 2: Percentage Calculation - Calculating the Percentage

#### Percent problem

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

What percentage is 12 out of 120? |

#### Percentage formula

Percentage / base value × 100 = percentage |

#### Concrete percentage calculation

With a percentage value of 12 and a base value of 120, the percentage calculator performs the following specific calculation for the percentage:

12 / 120 × 100 = 10 |

#### solution

12 out of 120 are 10 percent. |

#### Application example

A question from everyday life could mean: An account statement shows an interest charge of 240 euros for the past year. The loan amount for the installment loan is still 6,000 euros. What is the interest rate? The bill: € 240 / € 6,000 × 100 = 4%

### Example 3: Proportion calculation - calculation of the base value

#### Percent problem

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

12 is 10 percent of how much? |

#### Math formula to calculate

Percentage / (Percentage / 100) = base value |

#### Concrete percentage calculation

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

12 / (10/100) = 120 |

#### solution

12 is 10 percent of 120. |

#### Application example

Here, too, an example question: The borrower can find the interest charge of 240 euros on the account statement, he also knows that he should pay 4 percent annually on the remaining amount. How high is it? The bill: € 240/4 percent = € 6,000

### Calculator ↑ Contents ↑ Example 4: Percentage increase - calculation of the percentage value

#### Percent problem

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

How much is 120 plus 10 percent? |

#### formula

With regard to the present percentage problem or question, the percentage calculator uses the following general calculation formula for the percentage value:

Base value × (1 + percentage / 100) = percentage value |

#### Concrete percentage calculation

With a base value of 120 and a percentage of 10 percent:

120 × ( 1 + 10/100) = 132 |

#### solution

120 plus 10 percent is 132. |

This invoice is often used for

- the calculation of interest and the interest rate
- the increase of a fortune
- the determination of a financial amount with VAT added
- the calculation of the increase in your salary in the event of a salary increase
- general price increases and price increases for goods and services

#### Application example

In the public sector, a collective wage increase of 5 percent on the salary paid was agreed. What is the salary if it is currently 2,800 euros? Invoice: € 2,800 + 5% = € 2,800 × 1.05 = € 2,940

### Example 5: Percentage Increase - Calculating the Percentage

#### Percent problem

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

How many percent more are 132 compared to 120? |

Calculate the percentage with a percentage increase.

#### Math formula to calculate

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

(Percentage / base value - 1) × 100 = percentage |

#### Concrete percentage calculation

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

(132 / 120 − 1) × 100 = 10 |

#### solution

132 compared to 120 are 10 percent more. |

#### Application example

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

### Example 6: Percentage increase - calculation of the base value

#### Percent problem

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

132 is 10 percent more than how much? |

#### Mathematical formula

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

Percentage / (1 + (percentage / 100)) = base value |

#### Concrete percentage calculation

With a percentage of 132 and a percentage of 10 percent, our calculator performs the following specific calculation for the base value:

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

#### solution

132 is 10 percent more than 120. |

#### Application example

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

### Calculator ↑ Contents ↑ Example 7: Percentage decrease - calculation of the percentage value

#### Percent problem

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

How much is 120 minus 10 percent? |

#### Formula for calculating

The percentage calculator uses the following general formula for the percentage value in line with the percentage problem or question at hand:

Base value × (1 - percentage / 100) = percentage value |

#### Concrete percentage calculation

With a base value of 120 and a percentage of 10 percent, the percentage calculator performs the following specific calculation for the percentage:

120 × (1 − 10/100) = 108 |

#### solution

120 minus 10 percent is 108. |

#### Application example

The practical example: Our above-mentioned average diesel price of 1.10 euros is expected to fall again this year by 2 percent. What value do the statisticians expect? The calculation: € 1.10 × (1 - 2/100) = 1.10 × 0.98 = € 1.078

### Example 8: Percentage Decrease - Calculating the Percentage

#### Percent problem

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

What percentage less are 120 compared to 132? |

#### Percentage formula

The percentage calculator uses the following general formula for calculating the percentage to match the percentage problem or question at hand:

(Base value / percentage value - 1) × 100 = percentage |

#### Concrete percentage calculation

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

(120 / 132 − 1) × 100 = 9,090909... |

#### solution

120 versus 132 is 9.090909 ... percent less. |

### Example 9: Percentage decrease - calculation of the basic value

#### Percent problem

120 is 10 percent less than how much? |

#### Formula to calculate

The percentage calculator uses this formula to calculate the following percentage problem or question:

Percentage / (1 - percentage / 100) = base value |

#### Concrete percentage calculation

With a percentage of 120 and a percentage of 10 percent, the percentage calculator performs the following specific calculation for the base value:

120 / (1 − 10/100) = 133,333333... |

#### solution

120 is 10 percent less than 133.333333 ... |

### Questions from our users and answers from the editorial team

### References

In particular, we used the information from the following sources for the topic "Percentage calculation":

### Last update on April 10th, 2021

The pages of the topic "Percentage Calculation" were last editorially checked on April 10th, 2021 by Stefan Banse. They are all up to date.

### Previous changes on 01/11/2019

- 11/01/2019: Publication of the percentage calculator
- Editorial revision of all texts in this subject area

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