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Property, Plant, and Equipment - Schedule of Depreciation of Property and Equipment (Details) - USD ($)
$ in Millions
Aug. 30, 2025
Aug. 31, 2024
Property, Plant and Equipment [Line Items]    
Property, plant, and equipment, gross $ 589.6 $ 570.0
Less: Accumulated depreciation 256.6 231.1
Property, plant, and equipment, net 333.0 338.9
Land    
Property, Plant and Equipment [Line Items]    
Property, plant, and equipment, gross 14.6 14.6
Buildings and building improvements    
Property, Plant and Equipment [Line Items]    
Property, plant, and equipment, gross 279.3 279.3
Machinery and equipment    
Property, Plant and Equipment [Line Items]    
Property, plant, and equipment, gross 180.7 171.8
Software    
Property, Plant and Equipment [Line Items]    
Property, plant, and equipment, gross 78.3 72.0
Transportation    
Property, Plant and Equipment [Line Items]    
Property, plant, and equipment, gross 7.4 7.8
Construction in progress    
Property, Plant and Equipment [Line Items]    
Property, plant, and equipment, gross $ 29.3 $ 24.5