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Property, Plant, and Equipment (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	May 30, 2026	May 31, 2025	May 30, 2026	May 31, 2025	Aug. 30, 2025
Property, Plant, and Equipment [Line Items]
Property, plant, and equipment, gross	$ 593.2		$ 593.2		$ 589.6
Less: Accumulated depreciation	273.3		273.3		256.6
Property, plant, and equipment, net	319.9		319.9		333.0
Depreciation	9.4	$ 9.6	28.8	$ 28.7
Land
Property, Plant, and Equipment [Line Items]
Property, plant, and equipment, gross	14.3		14.3		14.6
Buildings and building improvements
Property, Plant, and Equipment [Line Items]
Property, plant, and equipment, gross	277.2		277.2		279.3
Machinery and equipment
Property, Plant, and Equipment [Line Items]
Property, plant, and equipment, gross	182.0		182.0		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	$ 35.5		$ 35.5		$ 29.3