Derivative Instruments - Schedule of Pre-Tax Effect of Cash Flow Hedging Relationships (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 31, 2022	May 31, 2021	May 31, 2022	May 31, 2021
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Gain (Loss) Reclassified in AOCL on Derivatives	$ 1,515	$ 2,531	$ 4,317	$ 6,064
Gain (Loss) Reclassified from AOCL into Income	(645)	1,170	(3,122)	3,114
Foreign currency forward contracts | SG&A
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Gain (Loss) Reclassified in AOCL on Derivatives	(4,114)	3,214	(7,690)	5,341
Gain (Loss) Reclassified from AOCL into Income	(2,635)	1,672	(4,098)	4,558
Interest rate swap agreement | Interest expense, net
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Gain (Loss) Reclassified in AOCL on Derivatives	5,629	(683)	12,007	723
Gain (Loss) Reclassified from AOCL into Income	$ 1,990	$ (502)	$ 976	$ (1,444)