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Significant Accounting Policies - Inventories (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2020
Inventory, Net [Abstract]
Raw materials, supplies, and work in process	$ 252.6	$ 209.5
Finished goods	264.0	227.2
Inventories excluding reserves	516.6	436.7
Less: Reserves	(30.9)	(38.0)
Total inventories	485.7	398.7
Inventory reserves:
SEC Schedule, 12-09, Valuation and Qualifying Accounts Disclosure [Line Items]
Balance at Beginning of Year	38.0	49.3	$ 22.3
Additions to reserve	15.7	21.4	36.3
Disposals of reserved inventory	(22.5)	(32.7)	(11.1)
Foreign currency translation adjustments	(0.3)	0.0	1.8
Balance at End of Year	$ 30.9	$ 38.0	$ 49.3

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Amount before valuation and LIFO reserves of completed merchandise or goods expected to be sold within one year or operating cycle, if longer.

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Gross amount, as of the balance sheet date, of merchandise, goods, commodities, or supplies held for future sale or to be used in manufacturing, servicing or production process.

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Amount after valuation and LIFO reserves of inventory expected to be sold, or consumed within one year or operating cycle, if longer.

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Amount of valuation reserve for inventory.

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The aggregate carrying amount as of the balance sheet date of items held by the entity which are partially completed at the time of measurement and unprocessed items that will go through the production process and become part of the final product. Includes supplies used directly or indirectly in the manufacturing or production process. This element may be used when the reporting entity combines work in process and raw materials into an aggregate amount.

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