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Debt - Term loan (Details) - USD ($)
$ in Thousands
1 Months Ended 12 Months Ended
Mar. 31, 2018
Jul. 31, 2017
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Debt Instruments          
Aggregate principal amount paid down     $ 777,538 $ 558,599 $ 1,216,643
Gain (loss) on extinguishment of debt     (951) $ (876) $ (27,981)
Term loan B          
Debt Instruments          
Aggregate principal amount paid down     115,000    
Gain (loss) on extinguishment of debt     $ (1,400)    
Variable-rate tranche | LIBOR          
Debt Instruments          
Debt instrument, variable percentage     2.25%    
Sally Holdings, LLC | Term Loan B          
Debt Instruments          
Debt instrument term   7 years      
Debt instrument, face amount   $ 850,000      
Debt instrument, maturity date   Jul. 05, 2024      
Sally Holdings, LLC | Variable-rate tranche          
Debt Instruments          
Debt instrument, annual rate on original amount   0.25%      
Sally Holdings, LLC | Term Loan B          
Debt Instruments          
Basis Points 0.25%        
Sally Holdings, LLC | Term Loan B | LIBOR          
Debt Instruments          
Debt instrument, variable percentage 2.25%