Let x be the sales amount. Then the tax is 0.06x, and the total sales including tax is x + 0.06x = 1/06x. You have this equation 1.06x = 1946.77. From the equation x == 1836.58 (rounded to nearest cent. Then the tax is 0.06x = 0.06*1836.58 = 110.19 dollars. ANSWER CHECK. 1836.58 + 110.19 = 1946.77 dollars. ! Precisely correct !