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Calculate Ratios of a Value

A tool to determine the ratios of a total value. Please choose, in how many parts you want to divide. It can be distributed evenly by pressing the corresponding button. Alternatively, you can use your own distribution key. For this, specify for all factors a percent value. Remainder determines, which factor in % and which share of the value isn't distributed.

Total value:

Parts:  2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Decimal places:  0 1 2 3 4 5 6 7 8 9

or enter all factors individually.

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Remainder: %, Share:

Factor 1: % Share 1:

Factor 2: % Share 2:

Factor 3: % Share 3:

Factor 4: % Share 4:

Factor 5: % Share 5:

Factor 6: % Share 6:

Factor 7: % Share 7:

Factor 8: % Share 8:

Factor 9: % Share 9:

Factor 10: % Share 10:

Factor 11: % Share 11:

Factor 12: % Share 12:

Factor 13: % Share 13:

Factor 14: % Share 14:

Factor 15: % Share 15:

Factor 16: % Share 16:

Factor 17: % Share 17:

Factor 18: % Share 18:

Factor 19: % Share 19:

Factor 20: % Share 20:

For example, if 75 is distributed equally among four people or parties, each of these four shares is 18.75. With an equal distribution among four, each of them receives 25 percent, regardless of the amount distributed.
A tiered distribution for four recipients, for example, could have the distribution key 40, 30, 20, and 10 percent. If the 75, of whatever, is distributed, then the first share is 30, the second 22.5, the third 15, and the fourth share is 7.5.

A remainder can arise from rounding errors. For example, 1, 10, or 100 cannot be divided equally among three, six, or nine people. In the interest of fairness in a distribution, not everything is distributed; a remainder remains at the last decimal place. There is a rounding method that prevents this: sum conserving rounding, which can also be referred to as rounding to 100 percent. However, this favors one recipient, albeit often only slightly.
A negative remainder, on the other hand, only occurs if an error has been made in the distribution key, i.e. if the percentage values ​​of the individual factors together are over 100. Since you can't distribute more than you have (in most cases), at least one of these factors should be reduced; this reduction is in the height of the remainder.

Last updated on 07/01/2025. Author: Jürgen Kummer

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