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Income Taxes - Provision & Reconciliation (Details) - USD ($)
$ in Thousands
 12 Months Ended
Jan. 02, 2024
Jan. 03, 2023
Dec. 28, 2021
Jan. 31, 2022
Dec. 29, 2020
Income tax provision/(benefit):          
Income before income taxes $ 100,014 $ 32,892 $ 71,620    
Current:          
Federal 7,183 3,520 15,746    
State 7,195 4,895 4,350    
Total current 14,378 8,415 20,096    
Deferred:          
Federal (15,329) (17,733) (20,434)    
State (386) (913) (415)    
Total deferred (15,715) (18,646) (20,849)    
Total benefit $ (1,337) $ (10,231) $ (753)    
Income Taxes          
U.S. federal statutory rate 21.00% 21.00% 21.00%    
State and district income taxes, net of federal benefit 5.40% 8.90% 4.20%    
Credit for FICA taxes paid on tips (24.90%) (66.40%) (24.20%)    
Other credits and incentives (2.20%) (10.70%) (4.20%)    
Impact of net operating loss carryback (0.00%) (0.00%) (6.30%)    
Deferred compensation (2.40%) 9.70% (2.90%)    
Equity compensation 1.50% 5.50% 0.00%    
Uncertain tax positions (0.70%) (2.30%) 10.30%    
Non-deductible executive compensation 0.80% 2.80% 0.30%    
Other (as a percent) 0.20% 0.40% 0.70%    
Effective tax rate (1.30%) (31.10%) (1.10%)    
Cash refunds of carryback claims     $ 18,400 $ 21,300  
Deferred FICA tax remittance         $ 4,300