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Transactions with Related Parties (Details) $ in Thousands	3 Months Ended
Transactions with Related Parties (Details) $ in Thousands	Mar. 29, 2026 USD ($) number_of_restaurants	Mar. 30, 2025 USD ($)	Dec. 28, 2025 USD ($)
Related Party Transaction
Number of Restaurants \| number_of_restaurants	7,251
Accounts payable	$ 23,596		$ 30,450
TimWen \| Franchise Rental Expense
Related Party Transaction
Operating Costs and Expenses	4,763	$ 4,798
TimWen \| Management Fee Income
Related Party Transaction
Other Operating Income	59	56
Yellow Cab \| Royalty, Advertising Fund, Lease and Other Income
Related Party Transaction
Other Operating Income	3,827	3,664
Accounts receivable, net, current	$ 1,336		1,045
Yellow Cab \| Franchised Units
Related Party Transaction
Number of Restaurants \| number_of_restaurants	87
AMC \| Advertising Funds Expense
Related Party Transaction
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Accounts payable	$ 0		$ 0