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Pension and Other Postretirement Benefit Plans - Schedule of Pension Plans Recognized in Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 01, 2021
Oct. 02, 2020
Sep. 27, 2019
Reclassification adjustments:      
Total $ (104,165) $ 61,977 $ 139,218
Pension Plan | U.S. Plans      
Arising during the period:      
Net actuarial (gain) loss (25,109) (900) 36,108
Prior service cost (benefit) 0 1,589 0
Total (25,109) 689 36,108
Reclassification adjustments:      
Net actuarial losses (3,204) (2,653) (2,282)
Prior service cost (325) (244) 0
Total (3,529) (2,897) (2,282)
Total (28,638) (2,208) 33,826
Pension Plan | Non-U.S. Plans      
Arising during the period:      
Net actuarial (gain) loss (65,547) 71,676 83,368
Net (gain) loss on Sale of ECR 0 0 (12,520)
Prior service cost (benefit) 0 0 29,829
Total (65,547) 71,676 100,677
Reclassification adjustments:      
Net actuarial losses (8,761) (6,322) (6,546)
Prior service cost (1,219) (1,169) (1,075)
Total (9,980) (7,491) (7,621)
Total $ (75,527) $ 64,185 $ 93,056