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Benefit Plans - Amounts Recognized in Other Comprehensive Income (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 02, 2021
Oct. 03, 2020
Sep. 28, 2019
Defined Benefit Plan Disclosure [Line Items]      
Net (gain) loss $ 289 $ (12,185) $ (24,300)
Pension Plan      
Defined Benefit Plan Disclosure [Line Items]      
Interest cost 4,227 4,947 6,047
Expected return on plan assets (7,777) (7,384) (7,619)
Amortization of net loss 1,861 1,720 2,758
Net periodic benefit (income) expense (1,689) (717) 1,186
Net (gain) loss (16,038) 4,671 26,083
Amortization of net loss (1,861) (1,720) (2,758)
Total recognized in other comprehensive (income) loss (17,899) 2,951 23,325
Total recognized in net periodic pension benefit (income) expense and other comprehensive (income) loss $ (19,588) $ 2,234 $ 24,511