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- Narrative (Details) (USD $)
3 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Sep. 30, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation included in general and administrative expenses $ 1,400,000us-gaap_AllocatedShareBasedCompensationExpense    
Total stock-based compensation included in general and administrative expenses, net of tax 1,100,000us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax    
Number of shares surrendered by employees (shares) 9,807us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation 21,693us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation  
Stock Surrendered During Period, Value 184,000bzh_StockSurrenderedDuringPeriodValue 413,000bzh_StockSurrenderedDuringPeriodValue  
SSARs / Stock Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Intrinsic value of SSAR/stock options outstanding 1,900,000bzh_ShareBasedCompensationArrangementByShareBasedPaymentAwardSsarsAndOptionsOutstandingIntrinsicValue
/ us-gaap_AwardTypeAxis
= bzh_SsarsStockOptionsMember
   
Aggregate intrinsic value of SSARs/stock options vested and expected to vest 1,900,000bzh_ShareBasedCompensationArrangementByShareBasedPaymentAwardSsarsAndOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue
/ us-gaap_AwardTypeAxis
= bzh_SsarsStockOptionsMember
   
SSARs/stock options weighted average expected life 2 years 5 months 16 days    
Aggregate intrinsic value of exercisable SSARs/stock options 1,500,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1
/ us-gaap_AwardTypeAxis
= bzh_SsarsStockOptionsMember
   
Nonvested Stock Awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized compensation costs related to non-vested stock awards $ 15,900,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsMember
  $ 10,000,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsMember
Weighted average period to recognize remaining cost 2 years 8 months 12 days    
Performance Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares of performance-based restricted stock issued (shares) 194,341us-gaap_StockIssuedDuringPeriodSharesNewIssues
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
   
Non-vested stock performance period (years) 3 years    
Award vesting period 3 years    
Granted $ 19.90us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
   
Expected dividend yield on performance shares (percent) 0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
   
Expected volatility rate range minimum (percent) 29.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateMinimum
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
   
Expected volatility rate range maximum (percent) 185.80%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateMaximum
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
   
Risk free interest rate 0.94%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
   
Nonvested Stock Awards and Performance Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Granted $ 19.07us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsAndPerformanceSharesMember
   
Minimum | Performance Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting percent of target number 0.00%bzh_SharebasedCompensationArrangementbySharebasedPaymentAwardEquityInstrumentsOtherthanOptionsVestingPercentofTargetNumber
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
   
Maximum | Performance Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting percent of target number 150.00%bzh_SharebasedCompensationArrangementbySharebasedPaymentAwardEquityInstrumentsOtherthanOptionsVestingPercentofTargetNumber
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Pre-tax Income Performance Shares | Minimum | Performance Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Equity instruments other than options, payout percent 50.00%bzh_SharebasedCompensationArrangementbySharebasedPaymentAwardEquityInstrumentsOtherthanOptionsPayoutPercent
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
/ us-gaap_PlanNameAxis
= bzh_PretaxIncomePerformanceSharesMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
   
Pre-tax Income Performance Shares | Maximum | Performance Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Equity instruments other than options, payout percent 200.00%bzh_SharebasedCompensationArrangementbySharebasedPaymentAwardEquityInstrumentsOtherthanOptionsPayoutPercent
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
/ us-gaap_PlanNameAxis
= bzh_PretaxIncomePerformanceSharesMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember