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Property, Plant, and Equipment (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
May 29, 2021
May 30, 2020
May 29, 2021
May 30, 2020
Aug. 29, 2020
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross $ 338,123   $ 338,123   $ 327,183
Less: Accumulated depreciation 160,545   160,545   152,238
Property, plant, and equipment, net 177,578   177,578   174,945
Depreciation 4,917 $ 4,134 13,476 $ 11,854  
Land          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 9,111   9,111   11,101
Buildings and building improvements          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 147,679   147,679   144,565
Machinery and equipment          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 120,557   120,557   117,370
Software          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 33,644   33,644   28,456
Transportation          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 4,974   4,974   4,913
Construction in progress          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross $ 22,158   $ 22,158   $ 20,778