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Pension and Other Postretirement Benefit Plans - Schedule of Contribution to Multiemployer Pension Plans (Details) - Pension Plan - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
Multiemployer Plans [Line Items]      
Contributions to multiemployer pension plans $ 12,586 $ 13,029 $ 8,559
Europe      
Multiemployer Plans [Line Items]      
Contributions to multiemployer pension plans 1,548 1,713 1,922
U.S. Plans      
Multiemployer Plans [Line Items]      
Contributions to multiemployer pension plans $ 11,038 $ 11,316 $ 6,637