Derivative Instruments and Hedging Activities - (Details)	3 Months Ended
	Dec. 31, 2021 USD ($) instrument	Dec. 31, 2020 USD ($)	Jul. 31, 2017 USD ($) derivative
Derivative Instruments
Number of derivative instruments held | instrument	0
Interest expense	$ 20,241,000	$ 25,978,000
Foreign Currency Forwards
Derivative Instruments
Notional Amount	$ 38,213,000
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 expense	$ 400,000
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	1,800,000
Reclassification out of Accumulated Other Comprehensive Income | Foreign Currency Forwards
Derivative Instruments
Foreign currency forwards designated as cash flow hedges to be reclassified gain (loss) into cost of goods sold	(300,000)	$ 400,000
Foreign currency forwards designated as cash flow hedges to be reclassified losses into cost of goods sold over next 12 months	$ 600,000