Ratio | Percentage | Steps | Integer Division | Partition with Remainder | Weighted Distribution | Number in Percent | Percent-Factor | Percent more/less | Multiple Ratio | Fee | Incidence Rate | Triangle
Convert Percent and Factor
Calculator for the percentual value from the factor or for the factor from percent. The percentual value tells how much a value changes based on 100. The factor is a value, with which the original value gets multiplied.
The formula for the calculation is: factor = ( percentual value + 100 ) / 100 or percentual value = 100 * factor - 100
Example: if something raises for 70 percent, then the factor is 1.7. If something declines for 30 percent, the percentual value is -30 and the factor is 0.7. An increase of 100 percent corresponds to a factor of 2. In contrast, a decrease of 100 percent is equal to a factor of 0, and then there is nothing left.
A factor is a multiplier, whereas with a percentage increase, something is added. The calculation is therefore once with plus and once with times. The factor calculates with multiples or parts of one, whereas percent refers to one hundred. However, a factor of one does not change the value, whereas at percent zero changes nothing and one hundred doubles. The one is the neutral element of multiplication, the zero is the neutral element of addition. In principle, it makes no difference whether you calculate with the factor or with the percentage change, you just must not confuse the two. Percentages may be a little more common in colloquial language, but factors are more common in science and technology. Factors are also easier and clearer to use in mathematical formulas, where percent are rarely encountered anyway.
An example of a factor in a technical context and in a mathematical formula is the factor in the calculation of the theoretical distance to the horizon, which results from the radius of the earth and the atmospheric refraction. This is an example of a factor with a unit, in this case the somewhat strange 1000 times the square root of meters. Often factors have no units, but are just dimensionless numbers.
Last updated on 06/27/2025. Author: Jürgen Kummer
© Jumk.de Webprojects | Online Calculators | Imprint & Privacy | German: Anteile eines Betrages berechnen