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Property, Plant, and Equipment (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2026
Mar. 01, 2025
Feb. 28, 2026
Mar. 01, 2025
Aug. 30, 2025
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross $ 591.7   $ 591.7   $ 589.6
Less: Accumulated depreciation 269.8   269.8   256.6
Property, plant, and equipment, net 321.9   321.9   333.0
Depreciation 9.6 $ 9.4 19.4 $ 19.1  
Land          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 14.5   14.5   14.6
Buildings and building improvements          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 277.5   277.5   279.3
Machinery and equipment          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 184.6   184.6   180.7
Software          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 76.9   76.9   78.3
Transportation          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 7.3   7.3   7.4
Construction in progress          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross $ 30.9   $ 30.9   $ 29.3