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Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss, Net of Tax (Detail) $ in Millions	6 Months Ended
	Feb. 28, 2022 USD ($)
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning balance	$ 1,307.7
Ending balance	1,252.6
Unrealized Gain (Loss) on Derivative Financial Instruments
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning balance	(7.4)
Other comprehensive gain (loss) before reclassifications	(2.4)
Amounts reclassified from Accumulated other comprehensive loss	2.3
Ending balance	(7.5)
Foreign Currency Translation Adjustment
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning balance	(35.8)
Other comprehensive gain (loss) before reclassifications	(9.6)
Ending balance	(45.4)
Other
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning balance	(0.5)
Other comprehensive gain (loss) before reclassifications	0.1
Ending balance	(0.4)
Accumulated Other Comprehensive (Loss)
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning balance	(43.7)
Other comprehensive gain (loss) before reclassifications	(11.9)
Amounts reclassified from Accumulated other comprehensive loss	2.3
Ending balance	$ (53.3)

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