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Derivative Financial Instruments - Changes in Fair Value of Interest Rate Swap Agreements (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 03, 2021
Sep. 27, 2020
Sep. 29, 2019
Derivative Instruments, Gain (Loss) [Line Items]      
(Loss) gain recognized in other comprehensive income, net of tax $ 6,117 $ (4,638)  
(Loss) gain recognized in other comprehensive income, net of tax     $ (12,125)
Interest rate swap agreements      
Derivative Instruments, Gain (Loss) [Line Items]      
(Loss) gain recognized in other comprehensive income, net of tax $ 6,117 $ (4,638)  
(Loss) gain recognized in other comprehensive income, net of tax     $ (12,125)