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Pension and Other Postretirement Benefit Plans - Accumulated Benefit Obligation (Details) - Pension Plan - USD ($)
$ in Thousands
Oct. 01, 2021
Oct. 02, 2020
U.S. Plans    
Defined Benefit Plan Disclosure [Line Items]    
Accumulated benefit obligation at the end of the year $ 404,283 $ 436,770
Non-U.S. Plans    
Defined Benefit Plan Disclosure [Line Items]    
Accumulated benefit obligation at the end of the year $ 2,305,808 $ 2,376,059