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Revenue Recognition - Summary of Contract Balances (Detail) - USD ($) $ in Millions		12 Months Ended
		Aug. 31, 2022	Aug. 31, 2021
Contract With Customer Asset And Liability [Line Items]
Contract liabilities	[1]	$ 30.5	$ 36.4
Change in contract liabilities	[1]	(5.9)
Accounts Receivable, Net
Contract With Customer Asset And Liability [Line Items]
Contract assets		13.0	5.9
Change in contract assets		7.1
Inventories
Contract With Customer Asset And Liability [Line Items]
Contract assets		6.0	$ 6.7
Change in contract assets		$ (0.7)
[1] Contract liabilities balance includes deferred revenue within the scope of Topic 606.

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Amount, after allowance for credit loss, of right to consideration in exchange for good or service transferred to customer when right is conditioned on something other than passage of time.

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Amount of obligation to transfer good or service to customer for which consideration has been received or is receivable.

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Change during the period in carrying value for all deferred liabilities due within one year or operating cycle.

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