Derivative Instruments - Effect of Derivative Instruments on Statements of Income (Detail) - Cash Flow Hedging - USD ($)	3 Months Ended		9 Months Ended
	May 31, 2022	May 31, 2021	May 31, 2022	May 31, 2021
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) recognized in OCI on derivatives	$ 17,500,000	$ 300,000	$ 14,900,000	$ (500,000)
Gain (loss) reclassified from accumulated OCI into income	(2,200,000)	(1,800,000)	(5,200,000)	(5,100,000)
Gain (loss) recognized on derivative (amount excluded from effectiveness testing)	500,000	200,000	1,400,000	600,000
Foreign Exchange Forward | Interest and Foreign Exchange
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) recognized in income on derivatives	200,000	100,000	200,000
Foreign Exchange Forward | Sales
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) recognized in OCI on derivatives	1,500,000	500,000	(3,500,000)	(1,100,000)
Gain (loss) reclassified from accumulated OCI into income	(600,000)	(500,000)	(1,000,000.0)	(1,100,000)
Gain (loss) recognized on derivative (amount excluded from effectiveness testing)	300,000	200,000	800,000	500,000
Foreign Exchange Forward | Cost Of Revenue
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) recognized in OCI on derivatives	800,000	300,000	900,000
Gain (loss) reclassified from accumulated OCI into income	100,000		100,000	(100,000)
Gain (loss) recognized on derivative (amount excluded from effectiveness testing)	200,000		600,000	100,000
Interest rate swap contracts | Interest and Foreign Exchange
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) recognized in OCI on derivatives	15,200,000	500,000	17,500,000	600,000
Gain (loss) reclassified from accumulated OCI into income	$ (1,700,000)	$ (1,300,000)	$ (4,300,000)	$ (3,900,000)