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Derivative Instruments and Hedging Activities - (Details)
3 Months Ended 6 Months Ended
Mar. 31, 2021
USD ($)
instrument
Mar. 31, 2021
USD ($)
instrument
Jul. 31, 2017
USD ($)
derivative
Derivative Instruments      
Number of derivative instruments held | instrument 0 0  
Foreign Currency Forwards      
Derivative Instruments      
Notional Amount $ 18,611,000 $ 18,611,000  
Interest rate caps | Variable-rate tranche | Sally Holdings, LLC      
Derivative Instruments      
Notional Amount     $ 550,000,000
Derivative instruments, expiration date   Jun. 30, 2023  
Number of interest rate caps | derivative     2
Interest rate caps | Term loan B variable tranche | Sally Holdings, LLC      
Derivative Instruments      
Interest rate caps designated as cash flow hedges to be reclassified into interest expense over next 12 months 1,500,000 $ 1,500,000  
Reclassification out of Accumulated Other Comprehensive Income | Foreign Currency Forwards      
Derivative Instruments      
Foreign currency forwards designated as cash flow hedges to be reclassified into cost of goods sold 100,000 400,000  
Foreign currency forwards designated as cash flow hedges to be reclassified losses into cost of goods sold over next 12 months $ 700,000 $ 700,000