Benefit Plans - Fair Value of Plan Assets (Details) - Pension Plan - USD ($) $ in Thousands	Oct. 01, 2022	Oct. 02, 2021	Oct. 03, 2020
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	$ 106,547	$ 137,337	$ 122,482
Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	106,547	137,337
Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Equity securities
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	50,590	87,827
Equity securities | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Equity securities | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	50,590	87,827
Equity securities | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Debt securities
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	55,957	49,510
Debt securities | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Debt securities | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	55,957	49,510
Debt securities | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	$ 0	$ 0