Income Taxes Schedule of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Thousands	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Income Tax Disclosure [Abstract]
Deferred Tax Assets, Interest Expense	$ 7,139	$ 8,090
Deferred Tax Assets, Operating Lease Liabilities	208,884	211,000
Postretirement benefit expenses	671	721
Intangible assets	0	757
Stock-based compensation expense	2,001	1,467
Federal net operating loss carryforwards	13,054	26,122
State net operating loss carryforwards	6,241	8,216
Tax credit carryforwards	47,328	43,906
Accrued vacation benefits	3,329	2,904
Accumulated other comprehensive income-postretirement benefits	(355)	(386)
Deferred Tax Assets, Accumulated Other Comprehensive Income, Interest Rate Swap	(1,294)	(2,160)
Deferred Tax Liabilities, Other	(304)	(313)
Other	10,172	5,981
Deferred Tax Assets, Gross, Total	298,819	309,164
Less: Valuation allowance	(42,713)	(44,263)	$ (24,410)	$ (13,138)
Net deferred income tax assets	256,106	264,901
Deferred Tax Liabilities, Operating Right-of-use Assets	(192,269)	(195,705)
Property and equipment depreciation	(11,207)	(12,247)
Deferred Tax Liability, Franchise Rights	61,080	61,755
Franchise rights	(687)	0
Deferred Tax Liabilities, Gross	(267,196)	(272,566)
Carrying value of net deferred income tax assets	$ (11,090)	$ (7,665)