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System Optimization Gains, Net Summary of Disposition Activity (Details)
$ in Thousands
3 Months Ended 9 Months Ended
Oct. 01, 2023
USD ($)
number_of_restaurants
Oct. 02, 2022
USD ($)
number_of_restaurants
Oct. 01, 2023
USD ($)
number_of_restaurants
Oct. 02, 2022
USD ($)
number_of_restaurants
Jan. 01, 2017
System optimization gains, net          
Company-operated restaurant ownership percentage         5.00%
Proceeds from sales of restaurants     $ 280 $ 3,731  
System optimization gains, net $ 120 $ 452 $ 119 $ 4,138  
Sale of franchise-operated restaurants to franchisees          
System optimization gains, net          
Number of restaurants sold to franchisees | number_of_restaurants     88 54  
Sale of company-operated restaurants to franchisees          
System optimization gains, net          
Number of restaurants sold to franchisees | number_of_restaurants 0 1 0 1  
Proceeds from sales of restaurants $ 0 $ 79 $ 0 $ 79  
Net Assets Sold 0 (141) 0 (141)  
Net unfavorable leases 0 (360) 0 (360)  
Other 0 6 0 6  
Gain on sales of restaurants, net, before post-closing adjustments 0 (416) 0 (416)  
Post-closing adjustments on sales of restaurants 537 0 537 3,522  
System optimization gains, net 537 (416) 537 3,106  
Sale of other assets          
System optimization gains, net          
Proceeds from sales of restaurants   2,510 280 3,368  
System optimization gains, net $ (417) 868 $ (418) 1,032  
Sale of manhattan company-operated restaurants to franchisees note receivable          
System optimization gains, net          
Proceeds from sales of restaurants   $ 126   $ 284