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Contingencies - Litigation and Other Matters (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2016
Mar. 31, 2016
Sep. 30, 2015
DPA And HUD      
Loss Contingencies [Line Items]      
Company's liability under Deferred Prosecution Agreement (percent) 4.00% 4.00%  
Maximum liability under the DPA and other settlement agreements $ 48.0 $ 48.0  
Portion of liability under DPA that has been paid as of balance sheet date   28.1  
bzh_DeferredProsecutionAgreementAccrual 4.3 4.3  
Loss Contingency Accrual, Provision 1.1 2.3  
Legal Reserve      
Loss Contingencies [Line Items]      
Accrued amounts for litigation and other contingent liabilities 9.0 9.0 $ 12.6
Performance Bonds      
Loss Contingencies [Line Items]      
Letters of credit secured using cash collateral 43.2 43.2  
Pledged Assets Separately Reported, Securities Pledged for Other Debt Obligations, at Fair Value $ 213.7 $ 213.7