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Stock-based Compensation - Nonvested Stock Awards (Details) (Nonvested Stock Awards and Performance Shares, USD $)
3 Months Ended
Dec. 31, 2014
Nonvested Stock Awards and Performance Shares
 
Shares  
Beginning of period 746,567us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsAndPerformanceSharesMember
Granted 390,870us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsAndPerformanceSharesMember
Vested 62,807us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsAndPerformanceSharesMember
Forfeited 106,191us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsAndPerformanceSharesMember
End of period 968,439us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsAndPerformanceSharesMember
Weighted Average Grant Date Fair Value  
Beginning of period $ 15.76us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsAndPerformanceSharesMember
Granted $ 19.07us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsAndPerformanceSharesMember
Vested $ 15.89us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsAndPerformanceSharesMember
Forfeited $ 4.65us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsAndPerformanceSharesMember
End of period $ 18.31us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= bzh_NonvestedStockAwardsAndPerformanceSharesMember