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Significant Accounting Policies - Inventories (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Aug. 31, 2019
Inventory, Net [Abstract]      
Raw materials, supplies, and work in process $ 209.5 $ 170.3  
Finished goods 227.2 199.1  
Inventories excluding reserves 436.7 369.4  
Less: Reserves (38.0) (49.3)  
Total inventories 398.7 320.1  
Inventory reserves:      
SEC Schedule, 12-09, Valuation and Qualifying Accounts Disclosure [Line Items]      
Balance at Beginning of Year 49.3 22.3 $ 36.8
Additions to reserve 21.4 36.3 10.7
Deductions (32.7) (11.1) (25.1)
Foreign currency translation adjustments 0.0 1.8 (0.1)
Balance at End of Year $ 38.0 $ 49.3 $ 22.3