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Goodwill and Intangible Assets - Estimated Amortization Expense (Details) - USD ($)
$ in Thousands
Oct. 01, 2023
Oct. 02, 2022
Goodwill and Intangible Assets Disclosure [Abstract]    
2024 $ 42,180  
2025 28,032  
2026 19,922  
2027 13,861  
2028 13,352  
Beyond 56,589  
Net Amount $ 173,936 $ 29,163