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[[File:Kotze-Pereira.png|thumb|Visual representation of the KP-Tansform]]
The '''Kotze-Pereira transformation''' '''(KP transform)''' is most simply thought of as: convert scored ballots into fractional approval ballots. In other words, a voter whose scores are, with the max score being 5, A5 B3 C2, would have their ballot transformed into 1 A-supporting ballot, 0.46 AB-supporting ballots (because the score for B divided by the max score is 3/5=0.6), and 0.4 C-supporting ballots. To avoid having fractional approval ballots, some suggest that the KP transform should be done in such a way that one voter's score ballot always produces the smallest number of approval ballots such that they all are integer amounts; with the above example, this would mean the voter would have 5 A-supporting ballots, 3 B-supporting ballots, and 2 {C-supporting ballots. In addition, the KP transform technically involves creating "empty ballots", so that in the above example, if the voter's scored ballot is converted into 5 A, 3 B}, 2 C Approval ballots, then there are also 2 "empty", B-disapproving ballots (which give no support to B) and 3 C-disapproving ballots. These modifications to the KP transform are purely aesthetic and don't change its practical implications.
-supporting ballo, , and 0.{A, B, 4} C-supporting ballotsThis is because the lowest score they give is a 2/5 which is 40% which is 0.4, which is the portion of their vote that approves all candidates at or above that score; after converting that portion of their vote, the next-lowest score is 3, and (3-2)/5 = 0.2 which is the portion of their vote approving all candidates they scored a 3 or higher. Finally, the next-lowest score is 5 and (5-3)/2 = 0.4 which is the portion approving A, the only candidate scored a 5. . To avoid having fractional approval ballots, some suggest that the KP transform should be done in such a way that one voter's score ballot always produces the smallest number of approval ballots such that they all are integer amounts; with the above example, this would meamultiplying each set of ballots by 5ts. is e modificatins to the KP transforis (usually) e purely aesthetic anwhen so, d esdon't change its practical implications.
The formal definition: Replace any ballot which rates the C candidates with scores
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