Derivative Instruments - Derivatives in Cash Flow Hedging Relationships (Details) - Cash Flow Hedging - Designated as Hedging Instrument - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2020
Derivative [Line Items]
Gain (Loss) Reclassified in AOCL on Derivatives	$ 889	$ 2,405	$ (1,089)
Gain (Loss) Reclassified from AOCL into Income	(6,013)	3,071	(2,014)
Foreign currency forward contracts
Derivative [Line Items]
Gain (Loss) Reclassified in AOCL on Derivatives	(16,356)	1,660	5,049
Foreign currency forward contracts | SG&A
Derivative [Line Items]
Gain (Loss) Reclassified from AOCL into Income	(7,867)	5,027	(1,556)
Interest rate swap agreement
Derivative [Line Items]
Gain (Loss) Reclassified in AOCL on Derivatives	17,245	745	(6,138)
Interest rate swap agreement | Interest expense, net
Derivative [Line Items]
Gain (Loss) Reclassified from AOCL into Income	$ 1,854	$ (1,956)	$ (458)