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Transactions with Related Parties Related Party Transaction Summary (Details) $ in Thousands	12 Months Ended
	Dec. 28, 2025 USD ($) number_of_restaurants	Dec. 29, 2024 USD ($)	Dec. 31, 2023 USD ($)	Jun. 30, 2021 USD ($) ft²
Related Party Transaction
Number of Restaurants \| number_of_restaurants	7,397
Accounts receivable, net	$ 104,957	$ 86,836
Accounts payable	$ 30,450	28,455
Franchised Units
Related Party Transaction
Number of Restaurants \| number_of_restaurants	6,963
Advertising funds restricted liabilities
Related Party Transaction
Accounts payable	$ 78,929	83,035
QSCC
Related Party Transaction
Proceeds from Rents Received	289	277	$ 231
Area of Real Estate Property \| ft²				18,774
Annual Base Rent				$ 250
QSCC \| Patronage Dividends
Related Party Transaction
Related Party Transaction, Purchases from Related Party	118	3,493	363
QSCC \| Other Operating Income (Expense) \| Patronage Dividends
Related Party Transaction
Related Party Transaction, Purchases from Related Party		2,909
QSCC \| Cost of sales \| Patronage Dividends
Related Party Transaction
Related Party Transaction, Purchases from Related Party	118	584	363
TimWen
Related Party Transaction
Operating Costs and Expenses	21,033	21,172	20,653
TimWen \| Franchise Rental Expense
Related Party Transaction
Operating Costs and Expenses	21,265	21,409	20,894
TimWen \| General and administrative \| Management Fee Income
Related Party Transaction
Other Operating Income	$ 232	237	241
Yellow Cab \| Franchised Units
Related Party Transaction
Number of Restaurants \| number_of_restaurants	88
Yellow Cab \| Royalty, Advertising Fund, Lease, and Other Income
Related Party Transaction
Other Operating Income	$ 15,197	15,417	14,757
Yellow Cab \| Accounts Receivable and Advertising Funds Restricted Assets \| Royalty, Advertising Fund, Lease, and Other Income
Related Party Transaction
Accounts receivable, net	1,045	1,132
AMC \| Advertising Funds Expense
Related Party Transaction
Related Party Transaction, Purchases from Related Party	800	2,010	$ 2,366
AMC \| Advertising funds restricted liabilities \| Advertising Funds Expense
Related Party Transaction
Accounts payable	$ 0	$ 17