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Property, Plant, and Equipment (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 28, 2022	May 29, 2021	May 28, 2022	May 29, 2021	Aug. 28, 2021
Property, Plant and Equipment [Line Items]
Property, plant, and equipment, gross	$ 430,412		$ 430,412		$ 351,938
Less: Accumulated depreciation	174,077		174,077		160,511
Property, plant, and equipment, net	256,335		256,335		191,427
Depreciation	6,264	$ 4,917	17,031	$ 13,476
Land
Property, Plant and Equipment [Line Items]
Property, plant, and equipment, gross	10,697		10,697		9,111
Buildings and building improvements
Property, Plant and Equipment [Line Items]
Property, plant, and equipment, gross	169,781		169,781		147,629
Machinery and equipment
Property, Plant and Equipment [Line Items]
Property, plant, and equipment, gross	130,601		130,601		121,911
Software
Property, Plant and Equipment [Line Items]
Property, plant, and equipment, gross	40,747		40,747		36,815
Transportation
Property, Plant and Equipment [Line Items]
Property, plant, and equipment, gross	6,563		6,563		5,335
Construction in progress
Property, Plant and Equipment [Line Items]
Property, plant, and equipment, gross	$ 72,023		$ 72,023		$ 31,137

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Amount of accumulated depreciation, depletion and amortization for physical assets used in the normal conduct of business to produce goods and services.

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