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Revenue Recognition - Summary of Contract Balances (Detail) - USD ($) $ in Millions		3 Months Ended
		Nov. 30, 2024	Aug. 31, 2024
Contract With Customer Asset And Liability [Line Items]
Contract liabilities	[1]	$ 42.2	$ 54.6
Change in contract assets, accounts receivable, net		(2.3)
Change in contract assets, inventories		(1.0)
Change in contract liabilities	[1]	(12.4)
Accounts Receivable, Net
Contract With Customer Asset And Liability [Line Items]
Contract assets		4.4	6.7
Inventories
Contract With Customer Asset And Liability [Line Items]
Contract assets		$ 9.8	$ 10.8
[1] Contract liabilities balance includes deferred revenue within the scope of Revenue from Contracts with Customers (Topic 606).

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- Definition

Contract with customer asset and liability Line items.

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- Definition

Increase (decrease) in contract with customer asset accounts receivable, net

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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

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 606
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479837/606-10-45-3

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- Definition

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

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 606
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
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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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