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Property, Plant, and Equipment (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Feb. 26, 2022	Feb. 27, 2021	Feb. 26, 2022	Feb. 27, 2021	Aug. 28, 2021
Property, Plant and Equipment [Line Items]
Property, plant, and equipment, gross	$ 408,269		$ 408,269		$ 351,938
Less: Accumulated depreciation	169,235		169,235		160,511
Property, plant, and equipment, net	239,034		239,034		191,427
Depreciation	5,461	$ 4,399	10,767	$ 8,559
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	168,554		168,554		147,629
Machinery and equipment
Property, Plant and Equipment [Line Items]
Property, plant, and equipment, gross	128,707		128,707		121,911
Software
Property, Plant and Equipment [Line Items]
Property, plant, and equipment, gross	36,259		36,259		36,815
Transportation
Property, Plant and Equipment [Line Items]
Property, plant, and equipment, gross	5,977		5,977		5,335
Construction in progress
Property, Plant and Equipment [Line Items]
Property, plant, and equipment, gross	$ 58,075		$ 58,075		$ 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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