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Borrowings - Schedule of Long-term Debt (Details) (USD $)
In Thousands, unless otherwise specified
Mar. 31, 2015
Sep. 30, 2014
Apr. 30, 2014
Sep. 30, 2013
Feb. 28, 2013
Nov. 10, 2014
lender
Debt Instrument [Line Items]            
Unamortized debt discounts $ (4,019)us-gaap_DebtInstrumentUnamortizedDiscount $ (4,399)us-gaap_DebtInstrumentUnamortizedDiscount        
Long-term debt 1,535,172us-gaap_LongTermDebt 1,535,433us-gaap_LongTermDebt        
Senior Notes            
Debt Instrument [Line Items]            
Unamortized debt discounts (4,019)us-gaap_DebtInstrumentUnamortizedDiscount
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
(4,399)us-gaap_DebtInstrumentUnamortizedDiscount
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
       
Long-term debt 1,432,261us-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 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
0.00%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 1/2% 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 | 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 | TEU Senior Amortizing Notes            
Debt Instrument [Line Items]            
Senior notes 3,401us-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 (44,000)us-gaap_DebtInstrumentUnamortizedDiscount
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_JuniorSubordinatedDebtMember
         
Long-term debt 56,770us-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 $ 23,773us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_NotesPayableOtherPayablesMember
$ 22,145us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_NotesPayableOtherPayablesMember
       
Number of Lenders No Credit Extension [Domain]            
Debt Instrument [Line Items]            
Line of Credit Facility, Number of Lenders           1bzh_LineofCreditFacilityNumberofLenders
/ us-gaap_CreditFacilityAxis
= bzh_NumberofLendersNoCreditExtensionDomain