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Benefit Plans - Net Funded Status (Details) - Pension Plan - USD ($)
$ in Thousands
Oct. 02, 2021
Oct. 03, 2020
Sep. 28, 2019
Defined Benefit Plan Disclosure [Line Items]      
Benefit obligation $ 160,088 $ 169,741 $ 163,572
Fair value of plan assets 137,337 122,482 $ 118,048
Funded status (22,751) (47,259)  
Net pension liability recognized $ (22,751) $ (47,259)