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Property, Plant, and Equipment (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 27, 2021
Feb. 29, 2020
Feb. 27, 2021
Feb. 29, 2020
Aug. 29, 2020
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross $ 329,569   $ 329,569   $ 327,183
Less accumulated depreciation 155,960   155,960   152,238
Property, plant, and equipment, net 173,609   173,609   174,945
Depreciation 4,399 $ 4,134 8,559 $ 7,720  
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 147,587   147,587   144,565
Machinery and equipment          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 120,106   120,106   117,370
Software          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 28,611   28,611   28,456
Transportation          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross 4,938   4,938   4,913
Construction in progress          
Property, Plant and Equipment [Line Items]          
Property, plant, and equipment, gross $ 19,216   $ 19,216   $ 20,778