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Income Taxes: (Details) (USD $)
 12 Months Ended
Jan. 01, 2013
Jan. 03, 2012
Dec. 28, 2010
Income Taxes:      
Income before income taxes $ 133,974,000 $ 129,143,000 $ 111,089,000
Current:      
Federal 39,792,000 17,093,000 26,580,000
State 8,517,000 8,423,000 6,883,000
Total current 48,309,000 25,516,000 33,463,000
Deferred:      
Federal (11,055,000) 9,284,000 (4,024,000)
State (1,703,000) (1,377,000) (63,000)
Total deferred (12,758,000) 7,907,000 (4,087,000)
Total provision 35,551,000 33,423,000 29,376,000
Income Taxes Rate Reconciliation      
Tax at U.S. federal statutory rate (as a percent) 35.00% 35.00% 35.00%
State and district income taxes, net of federal income tax benefit (as a percent) 3.30% 3.60% 4.10%
FICA tip credit (as a percent) (7.70%) (6.90%) (7.60%)
HIRE Act retention tax credit (as a percent) 0.00% (1.40%)  
Other credits and incentives (as a percent) (0.60%) (0.80%) (0.60%)
Change in uncertain tax positions (as a percent) 0.00% (1.30%) (0.70%)
Manufacturing deduction (as a percent) (2.80%) (2.70%) (3.10%)
Deferred compensation (as a percent) (0.70%) 0.20% (0.60%)
Other (as a percent)   0.20% (0.10%)
Effective tax rate (as a percent) 26.50% 25.90% 26.40%
Deferred tax assets:      
Employee benefits 20,135,000 15,927,000  
Insurance reserves 15,284,000 13,099,000  
Accrued rent 23,945,000 21,257,000  
Stock-based compensation 18,908,000 20,800,000  
Deferred income 7,060,000 5,690,000  
Tax credit carryforwards 1,751,000 1,918,000  
Other 853,000 1,416,000  
Subtotal 87,936,000 80,107,000  
Less: Valuation allowance (258,000)    
Total 87,678,000 80,107,000  
Deferred tax liabilities:      
Property and equipment (146,763,000) (153,299,000)  
Inventory (9,160,000) (8,847,000)  
Prepaid expenses (8,350,000) (7,314,000)  
Total (164,273,000) (169,460,000)  
Net deferred tax liability (76,595,000) (89,353,000)  
Reported in consolidated balance sheets as:      
Deferred income taxes - current asset 15,257,000 14,574,000  
Deferred income taxes - noncurrent liability (91,852,000) (103,927,000)  
Net deferred tax liability (76,595,000) (89,353,000)  
Reconciliation of beginning and ending amount of unrecognized tax benefits      
Balance at beginning of year 590,000 2,135,000 6,460,000
Additions based on tax positions taken during a prior period 0    
Reductions based on tax positions taken during a prior period     (3,085,000)
Additions based on tax positions taken during the current period 230,000 199,000 163,000
Reductions related to settlements with taxing authorities and lapses of statutes of limitations (125,000) (1,744,000) (1,403,000)
Balance at end of year 695,000 590,000 2,135,000
Unrecognized tax benefits, if recognized, would unfavorably affect the annual effective income tax rate 700,000    
Accrued interest related with uncertain tax positions 100,000 100,000  
Decrease in unrecognized tax benefits during the next twelve months based on the lapses of statutes of limitations for certain jurisdictions (100,000)    
Compensation expense disallowed as per notice issued by IRS 5,100,000    
State
      
Tax credit carryforwards      
Tax credit carryforwards $ 2,700,000 $ 3,000,000