Revenue Recognition - Summary of Contract Balances (Detail) - USD ($) $ in Millions		6 Months Ended
		Feb. 29, 2024	Aug. 31, 2023
Contract With Customer Asset And Liability [Line Items]
Contract liabilities	[1]	$ 77.7	$ 43.3
Change in contract liabilities	[1]	34.4
Accounts Receivable
Contract With Customer Asset And Liability [Line Items]
Contract assets		0.7	0.1
Change in contract assets		0.6
Inventories
Contract With Customer Asset And Liability [Line Items]
Contract assets		10.3	$ 7.0
Change in contract assets		$ 3.3

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