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Significant Accounting Policies (Details) - USD ($)
$ in Thousands
9 Months Ended 12 Months Ended
Jan. 15, 2019
Dec. 31, 2022
Dec. 31, 2023
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Entity Information [Line Items]            
Operating leases, term     20 years      
Franchise agreement, term     20 years      
Sale-leaseback obligations     $ 25 $ 1,179    
Marketing and Advertising Expense     76,243 69,389 $ 65,433  
Fair value of swap     5,100 8,600    
Goodwill impairment loss     0 16,700    
Franchise rights impairment     0 200 0  
Impairment charges     1,700 $ 2,800 $ 3,900  
Stock Award Vesting Period           3 years
Money Market Funds, at Carrying Value     $ 5,500      
Term Loan B Facility [Member]            
Entity Information [Line Items]            
Trading percentage     97.80%      
Senior Notes due 2029            
Entity Information [Line Items]            
Interest Rate     5.875%      
Senior Loans            
Entity Information [Line Items]            
Debt Instrument, Percentage Of Par Value Traded     0.875      
Management [Member]            
Entity Information [Line Items]            
Stock Award Vesting Period 3 years 2 years        
Corporate Employees and Non-Employees            
Entity Information [Line Items]            
Stock Award Vesting Period     3 years      
Maximum [Member]            
Entity Information [Line Items]            
Finance lease terms     8 years      
Minimum [Member]            
Entity Information [Line Items]            
Finance lease terms     3 years