Revenue Recognition - Summary of Contract Balances (Detail) - USD ($) $ in Millions		9 Months Ended
		May 31, 2022	Aug. 31, 2021
Contract With Customer Asset And Liability [Line Items]
Contract liabilities	[1]	$ 27.8	$ 36.4
Change in contract liabilities	[1]	(8.6)
Accounts Receivable, Net
Contract With Customer Asset And Liability [Line Items]
Contract assets		16.7	5.9
Change in contract assets		10.8
Inventories
Contract With Customer Asset And Liability [Line Items]
Contract assets		13.4	$ 6.7
Change in contract assets		$ 6.7

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