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Pension and Other Postretirement Benefit Plans - Reconciliation of Combined Funded Status of Plans and Recognized in Consolidated Balance Sheet (Details) - Pension Plan - USD ($)
$ in Thousands
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
U.S. Plans      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Net benefit obligation at the end of the year $ 299,503 $ 404,820 $ 437,920
Fair value of plan assets at the end of the year 286,193 385,521 382,250
Underfunded amount recognized at the end of the year 13,310 19,299  
Non-U.S. Plans      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Net benefit obligation at the end of the year 1,365,466 2,375,640 2,388,077
Fair value of plan assets at the end of the year 1,297,625 2,203,495 $ 2,043,356
Underfunded amount recognized at the end of the year $ 67,841 $ 172,145