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Income Taxes - Temporary Differences (Details) - USD ($)
$ in Thousands
 12 Months Ended
Jan. 02, 2024
Jan. 03, 2023
Dec. 28, 2021
Deferred tax assets:      
Staff member benefits $ 35,932 $ 31,325  
Insurance reserves 14,931 14,374  
Operating lease liability 324,587 323,094  
Deferred income 38,074 35,928  
Tax credit carryforwards 74,004 57,710  
Goodwill 22,743 21,331  
Stock-based compensation 10,789 10,769  
State and foreign net operating loss carryforwards 1,640 2,435  
Other 674 604  
Subtotal 523,374 497,570  
Less: Valuation allowance (1,444) (1,223)  
Total 521,930 496,347  
Deferred tax liabilities:      
Property and equipment (121,219) (113,565)  
Prepaid expenses (8,933) (8,151)  
Inventory (8,882) (8,399)  
Accrued rent (5,889) (5,285)  
Operating lease asset (284,244) (283,921)  
Other (819) (781)  
Total (429,986) (420,102)  
Net deferred tax asset 91,944 76,245  
Reconciliation of beginning and ending amount of our uncertain tax positions      
Balance at beginning of year 3,787 4,799 $ 655
Additions related to prior year tax positions 181 227 4,157
Additions related to current period tax positions (121) (54) (13)
Reductions related to settlements with taxing authorities   (1,185)  
Balance at end of year 3,847 3,787 $ 4,799
Accrued interest and penalties related with uncertain tax positions 1,400 2,200  
Decrease in uncertain tax positions during the next twelve months based on the lapses of statutes of limitations for certain jurisdictions 300    
Tax credit carryforward valuation allowance $ 1,400 $ 1,200  
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 $ 27,400 $ 46,600  
Reconciliation of beginning and ending amount of our uncertain tax positions      
Tax credit carryforwards 1,600 1,600  
Foreign      
Deferred tax assets:      
Tax credit carryforwards 2,300 2,500  
Federal      
Reconciliation of beginning and ending amount of our uncertain tax positions      
Tax credit carryforwards $ 72,800 $ 56,500