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Property, Plant, and Equipment - Schedule of Property, Plant, and Equipment (Details) - USD ($)
$ in Millions
Nov. 30, 2023
Aug. 31, 2023
Property, Plant and Equipment [Line Items]    
Total property, plant, and equipment, at cost $ 966.7 $ 961.8
Less: Accumulated depreciation and amortization (673.1) (664.2)
Property, plant, and equipment, net 293.6 297.6
Land    
Property, Plant and Equipment [Line Items]    
Total property, plant, and equipment, at cost 22.9 23.0
Buildings and leasehold improvements    
Property, Plant and Equipment [Line Items]    
Total property, plant, and equipment, at cost 212.4 210.9
Machinery and equipment    
Property, Plant and Equipment [Line Items]    
Total property, plant, and equipment, at cost $ 731.4 $ 727.9