Derivative Instruments - Effect of Derivative Instruments on Statements of Operations (Detail) - Cash Flow Hedging - USD ($)	3 Months Ended		6 Months Ended
	Feb. 28, 2022	Feb. 28, 2021	Feb. 28, 2022	Feb. 28, 2021
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) recognized in OCI on derivatives	$ (1,600,000)		$ (2,600,000)	$ (700,000)
Gain (loss) reclassified from accumulated OCI into income	(1,500,000)	$ (1,700,000)	(3,000,000.0)	(3,300,000)
Gain (loss) recognized on derivative (amount excluded from effectiveness testing)	600,000	200,000	900,000	400,000
Foreign Exchange Forward | Interest and Foreign Exchange
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) recognized in income on derivatives	(100,000)		(400,000)	(100,000)
Foreign Exchange Forward | Sales
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) recognized in OCI on derivatives	(400,000)	(600,000)	(5,000,000.0)	(1,600,000)
Gain (loss) reclassified from accumulated OCI into income	(200,000)	(400,000)	(400,000)	(600,000)
Gain (loss) recognized on derivative (amount excluded from effectiveness testing)	300,000	100,000	500,000	300,000
Foreign Exchange Forward | Cost Of Revenue
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) recognized in OCI on derivatives	(1,400,000)	(200,000)	100,000	(300,000)
Gain (loss) reclassified from accumulated OCI into income				(100,000)
Gain (loss) recognized on derivative (amount excluded from effectiveness testing)	300,000	100,000	400,000	100,000
Interest rate swap contracts | Interest and Foreign Exchange
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) recognized in OCI on derivatives	600,000	800,000	2,300,000	1,200,000
Gain (loss) reclassified from accumulated OCI into income	$ (1,300,000)	$ (1,300,000)	$ (2,600,000)	$ (2,600,000)