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Share-Based Payments (Details 4) (USD $)
In Millions, except Share data, unless otherwise specified
0 Months Ended 6 Months Ended
Sep. 30, 2014
Mar. 31, 2015
Mar. 31, 2014
Restricted Stock Awards      
Summary of the activity for restricted stock awards/restricted stock units, Number of Shares      
Unvested at the beginning of the period (in shares) 436,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
436,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
 
Granted (in shares)   219,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
36,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
Vested (in shares)   (83,000)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
 
Forfeited (in shares)   (5,000)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
 
Unvested at the end of the period (in shares)   567,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
 
Restricted stock awards/restricted stock units      
Unvested at the beginning of the period (in dollars per share) $ 22.42us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
$ 22.42us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
 
Granted (in dollars per share)   $ 29.22us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
 
Vested (in dollars per share)   $ 14.30us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
 
Forfeited (in dollars per share)   $ 25.16us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
 
Unvested at the end of the period (in dollars per share)   $ 26.21us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
 
Weighted average remaining vesting term 3 years 4 months 24 days 3 years  
Total unrecognized compensation costs   $ 6.1us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= sbh_RestrictedStockAwardsMember
 
Weighted average period for recognition of unvested restricted awards   3 years  
Restricted Stock Awards | Minimum      
Stock Awards      
Vesting period   4 years  
Restricted Stock Awards | Maximum      
Stock Awards      
Vesting period   5 years  
Restricted Stock Units      
Stock Awards      
Vesting period   1 year  
Summary of the activity for restricted stock awards/restricted stock units, Number of Shares      
Granted (in shares)   20,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
27,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
Unvested at the end of the period (in shares)   20,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
 
Restricted stock awards/restricted stock units      
Granted (in dollars per share)   $ 29.20us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
 
Unvested at the end of the period (in dollars per share)   $ 29.20us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
 
Weighted average remaining vesting term   6 months  
Total unrecognized compensation costs   $ 0.3us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
 
Weighted average period for recognition of unvested restricted awards   6 months  
Restricted stock units, retention period   6 months  
Restricted Stock Units | Maximum      
Stock Awards      
Vesting period   1 year