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Borrowings - Schedule of Long-term Debt (Details) (USD $)
In Thousands, unless otherwise specified
Dec. 31, 2014
Sep. 30, 2014
Apr. 30, 2014
Feb. 28, 2013
Sep. 30, 2013
Debt Instrument [Line Items]          
Unamortized debt discounts $ (4,209)us-gaap_DebtInstrumentUnamortizedDiscount $ (4,399)us-gaap_DebtInstrumentUnamortizedDiscount      
Long-term debt 1,536,591us-gaap_LongTermDebt 1,535,433us-gaap_LongTermDebt      
Senior Notes          
Debt Instrument [Line Items]          
Unamortized debt discounts (4,209)us-gaap_DebtInstrumentUnamortizedDiscount
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
(4,399)us-gaap_DebtInstrumentUnamortizedDiscount
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Long-term debt 1,433,735us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
1,435,183us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Senior Notes | 8 1/8% Senior Notes Maturing June 2016          
Debt Instrument [Line Items]          
Stated interest rate on debt instrument (percent) 8.125%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A818SeniorNotesMaturingJune2016Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
8.125%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A818SeniorNotesMaturingJune2016Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Senior notes 172,879us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_A818SeniorNotesMaturingJune2016Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
172,879us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_A818SeniorNotesMaturingJune2016Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Senior Notes | 6 5/8% Senior Secured Notes          
Debt Instrument [Line Items]          
Stated interest rate on debt instrument (percent) 6.625%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_SixAndFiveEighthsPercentSeniorSecuredNotesMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
6.625%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_SixAndFiveEighthsPercentSeniorSecuredNotesMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Senior notes 300,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_SixAndFiveEighthsPercentSeniorSecuredNotesMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
300,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_SixAndFiveEighthsPercentSeniorSecuredNotesMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Senior Notes | 9 1/8% Senior Notes Maturing June 2018          
Debt Instrument [Line Items]          
Stated interest rate on debt instrument (percent) 9.125%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A918SeniorNotesMaturingJune2018Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
9.125%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A918SeniorNotesMaturingJune2018Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Senior Notes | 9 1/8% Senior Notes Maturing May 2019          
Debt Instrument [Line Items]          
Stated interest rate on debt instrument (percent) 9.125%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A918SeniorNotesMaturingMay2019Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
9.125%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A918SeniorNotesMaturingMay2019Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Senior notes 235,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_A918SeniorNotesMaturingMay2019Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
235,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_A918SeniorNotesMaturingMay2019Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Senior Notes | 5 3/4% Senior Notes Maturing June 2019          
Debt Instrument [Line Items]          
Stated interest rate on debt instrument (percent) 5.75%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A534SeniorNotesMaturingJune2019Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
  5.75%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A534SeniorNotesMaturingJune2019Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
   
Senior notes 325,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_A534SeniorNotesMaturingJune2019Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
325,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_A534SeniorNotesMaturingJune2019Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Senior Notes | 7 1/4% Senior Notes Maturing February 2023          
Debt Instrument [Line Items]          
Stated interest rate on debt instrument (percent) 7.25%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A714SeniorNotesMaturingFebruary2023Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
7.25%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A714SeniorNotesMaturingFebruary2023Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
  7.25%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A714SeniorNotesMaturingFebruary2023Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
 
Senior notes 200,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_A714SeniorNotesMaturingFebruary2023Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
200,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_A714SeniorNotesMaturingFebruary2023Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Senior Notes | 7 1/2% Senior Notes Maturing September 2021          
Debt Instrument [Line Items]          
Stated interest rate on debt instrument (percent) 7.50%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A712SeniorNotesMaturingSeptember2021Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
7.50%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A712SeniorNotesMaturingSeptember2021Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
    7.50%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= bzh_A712SeniorNotesMaturingSeptember2021Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
Senior notes 200,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_A712SeniorNotesMaturingSeptember2021Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
200,000us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_A712SeniorNotesMaturingSeptember2021Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Senior Notes | TEU Senior Amortizing Notes          
Debt Instrument [Line Items]          
Senior notes 5,065us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_TeuSeniorAmortizingNotesMaturingAugust2015Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
6,703us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= bzh_TeuSeniorAmortizingNotesMaturingAugust2015Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Junior Subordinated Notes          
Debt Instrument [Line Items]          
Stated interest rate on debt instrument (percent) 7.987%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_JuniorSubordinatedDebtMember
       
Unamortized debt discounts (44,500)us-gaap_DebtInstrumentUnamortizedDiscount
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_JuniorSubordinatedDebtMember
       
Long-term debt 56,253us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_JuniorSubordinatedDebtMember
55,737us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_JuniorSubordinatedDebtMember
     
Cash Secured Loan          
Debt Instrument [Line Items]          
Long-term debt 22,368us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SecuredDebtMember
22,368us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SecuredDebtMember
     
Other Secured Notes Payable          
Debt Instrument [Line Items]          
Long-term debt $ 24,235us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_NotesPayableOtherPayablesMember
$ 22,145us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_NotesPayableOtherPayablesMember