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System Optimization Gains, Net Summary of Disposition Activity (Details)
$ in Thousands
3 Months Ended
Apr. 02, 2023
USD ($)
number_of_restaurants
Apr. 03, 2022
USD ($)
number_of_restaurants
Jan. 01, 2017
System optimization gains, net      
Company-operated restaurant ownership percentage     5.00%
Proceeds from sales of restaurants $ 287 $ 263  
System optimization gains, net $ 5 $ 3,534  
Sale of franchise-operated restaurants to franchisees      
System optimization gains, net      
Number of restaurants sold to franchisees | number_of_restaurants 0 5  
Sale of company-operated restaurants to franchisees      
System optimization gains, net      
Post-closing adjustments on sales of restaurants $ 0 $ 3,447  
Sale of other assets      
System optimization gains, net      
Proceeds from sales of restaurants 287 168  
System optimization gains, net $ 5 87  
Sale of manhattan company-operated restaurants to franchisees note receivable      
System optimization gains, net      
Proceeds from sales of restaurants   $ 95