Significant Accounting Policies - Inventories (Details) - USD ($) $ in Millions	12 Months Ended
Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Inventory, Net [Abstract]
Raw materials, supplies, and work in process	$ 246.8	$ 222.1
Finished goods	306.7	191.1
Inventories excluding reserves	553.5	413.2
Less: Reserves	(26.8)	(25.6)
Total inventories	526.7	387.6
Inventory reserves:
SEC Schedule, 12-09, Valuation and Qualifying Accounts Disclosure [Line Items]
Beginning balance	25.6	25.8	$ 30.9
Additions to reserve	11.9	10.9	16.2
Disposals of reserved inventory	(10.4)	(11.0)	(20.6)
Foreign currency translation adjustments	(0.3)	(0.1)	(0.7)
Ending balance	$ 26.8	$ 25.6	$ 25.8

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