A 1.421-g sample of commercial KOH contaminated by K₂CO₃ was dissolved in water, and the resulting solution was diluted to 500.0 mL. A 50.00-mL aliquot of this solution was treated with 40.00 mL of 0.05567 M HCl and boiled to remove CO₂. The excess acid consumed 5.43 mL of 0.04983 M NaOH (phenolphthalein indicator). An excess of neutral BaCl₂ was added to another 50.00-mL aliquot to precipitate the carbonate as BaCO₃. The solution was then titrated with 29.04 mL of the acid to a phenolphthalein end point. Calculate the percentage KOH, K₂CO₃, and H₂O in the sample, assuming that these are the only compounds present.