In one town 8 of 18 29 year olds own a house as do 24 of 30

In one town, 8% of 18 - 29 year olds own a house, as do 24% of 30-50 year olds and 54% of those over 50. According to a recent census taken in the town, 27% of adults in the town are 18-29 years old, 36.5% are 30-50 years old, and 36.5% are over. What percentage of house-owners are 30-50 years old?

house owners who are 30-50 years old are = (24/100) x (36.5/100)/ ((24/100) X (36.5/100) + (0.08 X 0.27) + (0.54 X 0.365)) = 0.286 = 28.6%