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Pension and Other Postretirement Benefit Plans - Schedule of Components of Net Periodic Pension Cost (Details) - Pension Plan - USD ($)
$ in Thousands
 12 Months Ended
Oct. 01, 2021
Oct. 02, 2020
Sep. 27, 2019
U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Service cost $ 456 $ 409 $ 2,784
Interest cost 10,221 12,673 16,697
Expected return on plan assets (15,932) (17,670) (21,508)
Actuarial loss 4,249 3,518 3,026
Prior service cost 431 323 0
Net pension cost, before special items (575) (747) 999
Curtailment expense/Settlement (gain) loss (64) 3,436 (35,020)
Total net periodic pension (income) cost recognized (639) 2,689 (34,021)
Non-U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Service cost 6,568 5,710 7,171
Interest cost 38,907 39,469 52,627
Expected return on plan assets (90,346) (93,407) (82,274)
Actuarial loss 10,834 7,578 7,854
Prior service cost 1,519 1,405 1,263
Net pension cost, before special items (32,518) (39,245) (13,359)
Curtailment expense/Settlement (gain) loss 2,847 1,341 1,933
Total net periodic pension (income) cost recognized (29,671) (37,904) (11,426)
Total net periodic pension (income) cost recognized from Discontinued Operations 0 0 2,282
Total net periodic pension (income) cost recognized from Continuing Operations $ (29,671) $ (37,904) $ (13,708)