Derivative Instruments and Hedging Activities - (Details)	1 Months Ended	3 Months Ended		9 Months Ended
	Apr. 30, 2023 USD ($)	Jun. 30, 2024 USD ($) Instrument	Jun. 30, 2023 USD ($)	Jun. 30, 2024 USD ($) Instrument	Jun. 30, 2023 USD ($)	Jul. 31, 2017 USD ($) Derivative
Derivative Instruments
Number of derivative instruments held | Instrument		0		0
Interest expense		$ 20,707,000	$ 18,654,000	$ 58,544,000	$ 53,262,000
Foreign Currency Forwards | Selling, General and Administrative Expenses
Derivative Instruments
Foreign currency forwards designated as cash flow hedges to be reclassified in to cost of goods sold		800,000	(1,500,000)	(800,000)	(2,600,000)
Foreign Currency Forwards | Reclassification out of Accumulated Other Comprehensive Income
Derivative Instruments
Foreign currency forwards designated as cash flow hedges to be reclassified in to cost of goods sold		(400,000)	(700,000)	(2,500,000)	(600,000)
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
Interest Rate Caps | Variable-rate tranche | Sally Holdings, LLC
Derivative Instruments
Notional Amount						$ 550,000,000
Number of interest rate caps | Derivative						2
Interest income				2,800,000
Interest Rate Swap | Sally Holdings, LLC
Derivative Instruments
Derivative instruments, expiration date	Apr. 30, 2026
Term of derivative instrument	3 years
Notional Amount	$ 200,000,000
Fixed interest rate	3.705%
Interest income		800,000	$ 500,000	2,500,000	$ 500,000
Interest rate caps designated as cash flow hedges to be reclassified into interest expense over next 12 months		$ 2,400,000		$ 2,400,000