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Goodwill and Intangible Assets - Estimated Amortization Expense (Details) - USD ($)
$ in Thousands
Oct. 02, 2022
Oct. 03, 2021
Goodwill and Intangible Assets Disclosure [Abstract]    
2023 $ 9,788  
2024 5,244  
2025 4,411  
2026 3,590  
2027 2,168  
Beyond 3,962  
Net Amount $ 29,163 $ 37,990