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System Optimization Gains, Net Summary of Disposition Activity (Details)
$ in Thousands
3 Months Ended 6 Months Ended
Jun. 30, 2024
USD ($)
number_of_restaurants
Jul. 02, 2023
USD ($)
number_of_restaurants
Jun. 30, 2024
USD ($)
Jul. 02, 2023
USD ($)
System optimization gains, net        
Company-operated restaurant ownership percentage 5.00%   5.00%  
Proceeds from sales of restaurants     $ 601 $ 280
System optimization gains, net $ 280 $ (6) 153 (1)
Sale of franchise-operated restaurants to franchisees        
System optimization gains, net        
Number of restaurants sold to franchisees | number_of_restaurants 14 88    
Sale or Purchase of company-operated restaurants to franchisees        
System optimization gains, net        
Number of restaurants sold to franchisees | number_of_restaurants 0 0    
Restaurants acquired from franchisees | number_of_restaurants 0 0    
Sale of Company-Operated Restaurants to Franchisees [Member]        
System optimization gains, net        
Post closing adjustments on sales of restaurants $ 254 $ 0 254 0
System optimization gains, net 26 $ (6) (101) (1)
Sale of other assets        
System optimization gains, net        
Proceeds from sales of restaurants $ 575   $ 601 $ 280