Income Taxes - Temporary Differences (Details) - USD ($)	12 Months Ended
	Jan. 03, 2023	Dec. 28, 2021	Dec. 29, 2020
Deferred tax assets:
Staff member benefits	$ 31,325,000	$ 36,295,000
Insurance reserves	14,374,000	12,897,000
Operating lease liability	323,094,000	315,403,000
Deferred income	35,928,000	33,075,000
Tax credit carryforwards	57,710,000	34,871,000
Goodwill	21,331,000	19,103,000
Stock-based compensation	10,769,000	10,122,000
State and foreign net operating loss carryforwards	2,435,000	3,005,000
Other	604,000	1,063,000
Subtotal	497,570,000	465,834,000
Less: Valuation allowance	(1,223,000)	(1,036,000)
Total	496,347,000	464,798,000
Deferred tax liabilities:
Property and equipment	(113,565,000)	(109,019,000)
Prepaid expenses	(8,151,000)	(7,312,000)
Inventory	(8,399,000)	(7,802,000)
Accrued rent	(5,285,000)	(5,087,000)
Operating lease asset	(283,921,000)	(277,220,000)
Other	(781,000)	(724,000)
Total	(420,102,000)	(407,164,000)
Net deferred tax asset	76,245,000	57,634,000
Reconciliation of beginning and ending amount of our uncertain tax positions
Balance at beginning of year	4,799,000	655,000	$ 704,000
Additions related to prior year tax positions	227,000	4,157,000
Additions related to current period tax positions	(54,000)	(13,000)	(49,000)
Reductions related to settlements with taxing authorities	(1,185,000)
Balance at end of year	3,787,000	4,799,000	$ 655,000
Accrued interest and penalties related with uncertain tax positions	2,200,000	3,600,000
Decrease in uncertain tax positions during the next twelve months based on the lapses of statutes of limitations for certain jurisdictions	0
Tax credit carryforward valuation allowance	$ 1,200,000	$ 1,000,000.0
Minimum
Reconciliation of beginning and ending amount of our uncertain tax positions
Expiration period		0 years
Maximum
Reconciliation of beginning and ending amount of our uncertain tax positions
Expiration period	5 years
State
Deferred tax assets:
Tax credit carryforwards	$ 46,600,000	$ 64,600,000
Reconciliation of beginning and ending amount of our uncertain tax positions
Tax credit carryforwards	1,600,000	1,700,000
Foreign
Deferred tax assets:
Tax credit carryforwards	2,500,000	2,700,000
Federal
Reconciliation of beginning and ending amount of our uncertain tax positions
Tax credit carryforwards	$ 56,500,000	$ 33,600,000