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Revenue Recognition - Summary of Contract Balances (Detail) - USD ($) $ in Millions		3 Months Ended
		Nov. 30, 2021	Aug. 31, 2021
Contract With Customer Asset And Liability [Line Items]
Contract liabilities	[1]	$ 30.6	$ 36.4
Change in contract liabilities	[1]	(5.8)
Accounts Receivable, Net
Contract With Customer Asset And Liability [Line Items]
Contract assets		9.1	5.9
Change in contract assets		3.2
Inventories
Contract With Customer Asset And Liability [Line Items]
Contract assets		11.7	$ 6.7
Change in contract assets		$ 5.0
[1] Contract liabilities balance includes deferred revenue within the scope of Revenue from Contracts with Customers (Topic 606).

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Contract with customer asset and liability Line items.

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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.

+ References

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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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