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Property, Plant and Equipment, Net - Property, Plant and Equipment, Net (Detail) - USD ($)
$ in Millions
Aug. 31, 2024
Aug. 31, 2023
Property, Plant and Equipment [Line Items]    
Property plant and equipment $ 1,350.1 $ 1,196.5
Accumulated depreciation (638.4) (577.3)
Property, plant and equipment, net 711.7 619.2
Land and improvements    
Property, Plant and Equipment [Line Items]    
Property plant and equipment 69.9 70.9
Machinery and Equipment    
Property, Plant and Equipment [Line Items]    
Property plant and equipment 626.5 574.0
Building and improvements    
Property, Plant and Equipment [Line Items]    
Property plant and equipment 366.6 352.0
Construction in Progress    
Property, Plant and Equipment [Line Items]    
Property plant and equipment 155.4 81.3
Other    
Property, Plant and Equipment [Line Items]    
Property plant and equipment $ 131.7 $ 118.3