Impairment of Long-Lived Assets (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Jul. 02, 2023	Jul. 03, 2022	Jul. 02, 2023	Jul. 03, 2022
Impairment of Long-Lived Assets
Impairment of long-lived assets	$ 78	$ 1,860	$ 454	$ 2,476
Company-operated restaurants
Impairment of Long-Lived Assets
Impairment of long-lived assets	78	1,708	428	2,075
Restaurants leased or subleased to franchisees
Impairment of Long-Lived Assets
Impairment of long-lived assets	0	0	0	194
Surplus properties
Impairment of Long-Lived Assets
Impairment of long-lived assets	$ 0	$ 152	$ 26	$ 207