re: House = (x)household income

That is not unreasonable, but throwing $200,000 into a a tax calculator, suggested that they would owe $37,500 in Federal income tax. Not including state taxes that would leave them with $162,500. Divide by 12 that leaves $13,541 a month. Multiply by 10% that is only $1,354 for rent. That will probably work in Louisiana, but it won't get you far in Denver.