Retirement Plans - Fair Value of Plan Assets by Main Asset Category (Details) - USD ($) $ in Thousands	Oct. 01, 2023	Oct. 02, 2022
Defined Benefit Plan, Plan Assets, Category [Line Items]
Fair value of plan assets	$ 39,572	$ 36,250
Equities
Defined Benefit Plan, Plan Assets, Category [Line Items]
Fair value of plan assets	2,213	8,390
Mutual Fund
Defined Benefit Plan, Plan Assets, Category [Line Items]
Fair value of plan assets	20,458	20,886
Liability driven investment funds
Defined Benefit Plan, Plan Assets, Category [Line Items]
Fair value of plan assets	13,807	6,484
Bonds
Defined Benefit Plan, Plan Assets, Category [Line Items]
Fair value of plan assets	2,354	0
Cash/other
Defined Benefit Plan, Plan Assets, Category [Line Items]
Fair value of plan assets	$ 740	$ 490