Revenue Recognition - Summary of Contract Balances (Detail) - USD ($) $ in Millions		6 Months Ended
		Feb. 28, 2023	Aug. 31, 2022
Contract With Customer Asset And Liability [Line Items]
Contract liabilities	[1]	$ 65.7	$ 30.5
Change in contract liabilities	[1]	(35.2)
Accounts Receivable, Net
Contract With Customer Asset And Liability [Line Items]
Contract assets		2.4	13.0
Change in contract assets		(10.6)
Inventories
Contract With Customer Asset And Liability [Line Items]
Contract assets		8.2	$ 6.0
Change in contract assets		$ (2.2)

[1] Contract liabilities balance includes deferred revenue within the scope of Revenue from Contracts with Customers (Topic 606).