Style is to a writer what color is to a painter.

Literal

Style [subject-が] writer [target-に] holds relation [topic-は], color [subject-が] painter [target-に] corresponds-to [possessive-の] [with-と] same is.

A complex literary comparison using ~と同じである (is the same as). The pattern 'A が B に持つ関係は、C が D に対するのと同じ' creates a formal analogy. の after 対する nominalizes the clause. A structurally dense sentence requiring careful parsing.