A solution of KMnO4 containing 1.67 mg of manganese per 100 mL has a transmittance of 18.9% when measured with a 2.00 cm optical cell. A 1.00 g sample of a manganese steel is dissolved, oxidized to permanganate, and diluted to 500 mL. Using a 1.00 cm optical cell, the absorbance measured is 0.500. What is the % manganese in the steel?