A distillation column separates a mixture consisting of 8% (by mole) acetone, 61% (by mole) acetic acid, and 30.2% (by mole) acetic anhydride. The column is designed to yield 825 kmol/h of a distillate stream containing 10% (by mole) acetone and 52.6% (by mole) acetic acid. The bottoms stream contains no acetone, and the column is operated so that 55% (by mole) of the overhead is returned as reflux. Calculate the mole percent of acetic acid in the bottoms.