Calculate Weighted Distribution

A calculator for a distribution, where following a proportion the first gets more than the second, this gets more than the third, and so forth. An example of the use of this distribution is for prize awards. Often, this is calculated with a weighting of 50%, the first one gets the half of the amount, the second one the half of the half, which is one fourth, and so on. Always a rest will remain, at a weighting of 50% or more this can quickly become small and practically go to zero.

The fewer shares are paid out, the higher the percentage factor should be for the weighting in order to pay out as much of the total amount as possible. Alternatively, you can increase the total amount, because this is purely a calculation value, only the amount without rest is paid out. This is calculated under "Distributed:". For example, if you want to distribute exactly 100 using the above settings, you can set the total amount to 114.28. You can come to this value by trial and error.

An example: if you want to distribute 1000 between three people using the 50 percent method, the first person receives 500, the second 250 and the third 125. 875 were distributed, leaving 125 as the rest. If you want to distribute exactly 1000 without a rest using this scheme, you have to experiment a bit to find out that it works approximately with an assumed total amount of 1142.86. The first person then gets 571.43, the second 285.71 and the third 142.86. The rest is, like third place, 142.86, the total amount of 1142.86 is just an auxiliary value and 1000 are actually paid out. This doesn't work exactly because half cents cannot be paid out. To get better values, you can pay out 570, 285 and 145, but then you lose the exact 50 percent weighting. Or you pay 600, 300 and 150, but then the total amount paid out increases to 1050.