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Inventories - Components of Inventories (Detail) - USD ($)
$ in Millions
Feb. 28, 2022
Aug. 31, 2021
Inventory Disclosure [Abstract]    
Manufacturing supplies and raw materials $ 530.2 $ 352.8
Work-in-process 146.5 167.3
Finished goods 66.8 73.4
Excess and obsolete adjustment (15.0) (19.9)
Inventories $ 728.5 $ 573.6