Income Taxes Schedule of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Thousands	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Income Tax Disclosure [Abstract]
Deferred Tax Assets, Interest Expense	$ 1,345	$ 0
Deferred Tax Assets, Operating Lease Liabilities	217,236	219,096
Postretirement benefit expenses	766	853
Stock-based compensation expense	1,683	1,323
Federal net operating loss carryforwards	26,839	28,880
State net operating loss carryforwards	6,837	6,032
Tax credit carryforwards	39,965	35,650
Accrued vacation benefits	2,844	2,684
Accrued workers compensation	0	1,841
Accumulated other comprehensive income-postretirement benefits	(380)	(474)
Deferred Tax Assets, Accumulated Other Comprehensive Income, Interest Rate Swap	(161)	0
Deferred Tax Liabilities, Other	(2,679)	(1,172)
Other	6,507	4,345
Deferred Tax Assets, Gross, Total	304,022	300,704
Less: Valuation allowance	(24,410)	(13,138)	$ 0
Net deferred income tax assets	279,612	287,566
Deferred Tax Liabilities, Operating Right-of-use Assets	(202,887)	(205,897)
Property and equipment depreciation	(18,092)	(26,056)
Franchise rights	(63,030)	(65,329)
Deferred Tax Liabilities, Gross	(287,229)	(298,928)
Carrying value of net deferred income tax assets	$ (7,617)	$ (11,362)