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Inventories - Components of Inventories (Detail) - USD ($)
$ in Millions
Feb. 28, 2023
Aug. 31, 2022
Inventory Disclosure [Abstract]    
Manufacturing supplies and raw materials $ 686.7 $ 570.2
Work-in-process 140.3 183.3
Finished goods 99.2 75.9
Excess and obsolete adjustment (15.6) (14.1)
Inventories $ 910.6 $ 815.3