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Intangible Assets (Details) - USD ($)
$ in Thousands
Oct. 02, 2021
Oct. 03, 2020
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 40,581 $ 40,581
Gross Carrying Amount 80,397 80,397
Accumulated Amortization 30,954 28,765
Total 9,627 11,816
Total 49,443 51,632
Trade names    
Indefinite-lived Intangible Assets [Line Items]    
Nonamortized intangible assets 39,816 39,816
Engineering designs    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 3,156 3,156
Accumulated Amortization 2,876 2,556
Total 280 600
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 37,425 37,425
Accumulated Amortization 28,078 26,209
Total $ 9,347 $ 11,216