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Transactions with Related Parties (Details)
$ in Thousands
3 Months Ended
Mar. 30, 2025
USD ($)
number_of_restaurants
Mar. 31, 2024
USD ($)
Dec. 29, 2024
USD ($)
Related Party Transaction      
Number of Restaurants | number_of_restaurants 7,308    
Accounts payable $ 24,856   $ 28,455
TimWen | Franchise Rental Expense      
Related Party Transaction      
Operating Costs and Expenses 4,798 $ 5,030  
TimWen | Management Fee Income | General and administrative      
Related Party Transaction      
Other Operating Income 56 60  
QSCC | Patronage Dividends      
Related Party Transaction      
Patronage dividends   3,096  
QSCC | Patronage Dividends | Other Operating Income (Expense)      
Related Party Transaction      
Patronage dividends   2,909  
QSCC | Patronage Dividends | Cost of sales      
Related Party Transaction      
Patronage dividends 0 187  
Yellow Cab | Royalty, Advertising Fund, Lease and Other Income      
Related Party Transaction      
Other Operating Income 3,664 3,612  
Yellow Cab | Accounts and notes receivable, net and Advertising funds restricted assets | Royalty, Advertising Fund, Lease and Other Income      
Related Party Transaction      
Accounts receivable, net, current $ 1,156   1,132
Yellow Cab | Franchised Units      
Related Party Transaction      
Number of Restaurants | number_of_restaurants 89    
AMC | Advertising Funds Expense      
Related Party Transaction      
Related Party Transaction, Purchases from Related Party $ 300 $ 500  
AMC | Advertising funds restricted liabilities | Advertising Funds Expense      
Related Party Transaction      
Accounts payable $ 26   $ 17