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Transactions with Related Parties (Details)
$ in Thousands
9 Months Ended
Jan. 07, 2021
number_of_restaurants
Oct. 03, 2021
USD ($)
number_of_restaurants
Sep. 27, 2020
USD ($)
Related Party Transaction      
Number of restaurants | number_of_restaurants   6,891  
TimWen | Franchise rental expense      
Related Party Transaction      
Related Party Transaction, Expenses from Transactions with Related Party   $ 13,994 $ 11,970
TimWen | General and administrative | Management Fees      
Related Party Transaction      
Related Party Transaction, Other Income from Transactions with Related Party   165 $ 152
Yellow Cab | Royalty, Advertising Fund, Lease, and Other Income      
Related Party Transaction      
Related Party Transaction, Other Income from Transactions with Related Party   7,016  
Yellow Cab | Accounts Receivable and Advertising Funds Restricted Assets | Royalty, Advertising Fund, Lease, and Other Income      
Related Party Transaction      
Accounts Receivable, Related Parties, Current   $ 866  
Yellow Cab | Franchised Units      
Related Party Transaction      
Number of restaurants | number_of_restaurants   78  
Significant Changes, Franchises Purchased During Period | number_of_restaurants 54