Derivative Instruments - Schedule of Pre-Tax Effect of Cash Flow Hedging Relationships (Details) - Cash flow hedging - Designated as hedging instrument - USD ($) $ in Thousands	3 Months Ended
	Nov. 30, 2022	Nov. 30, 2021
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Gain (Loss) Recognized in AOCL on Derivatives	$ 6,751	$ (959)
Gain (Loss) Reclassified from AOCL into Income	(2,068)	(965)
Foreign currency forward contracts | SG&A
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Gain (Loss) Recognized in AOCL on Derivatives	3,323	(3,542)
Gain (Loss) Reclassified from AOCL into Income	(4,965)	(449)
Interest rate swap agreement | Interest expense, net
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Gain (Loss) Recognized in AOCL on Derivatives	3,428	2,583
Gain (Loss) Reclassified from AOCL into Income	$ 2,897	$ (516)