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The word 百分之百 is formed by sequentially combining four characters: 百 (hundred), 分 (part), 之 (a linking particle often indicating possession or relationship), and another 百 (hundred). This creates a literal, compositional meaning of "a hundred parts out of a hundred", which directly and logically equates to the concept of one hundred percent or totality.

Word Definition - 百分之百

bǎi fēn zhī bǎi a hundred percent; out and out; absolutely