Short Answer

Deriving Take-Home Wage from Gross Wage

An employer's total cost for an employee's labor is the gross wage, WgrossW^{\text{gross}}. The employee receives a take-home wage, WW, after direct labor taxes at a rate of tdt_d are accounted for. Given the relationship Wgross=W(1+td)W^{\text{gross}} = W(1 + t_d), rearrange this formula to express the take-home wage (WW) in terms of the gross wage (WgrossW^{\text{gross}}) and the tax rate (tdt_d).

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Updated 2025-10-02

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