Impairment of Long-Lived Assets (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Oct. 01, 2023	Oct. 02, 2022	Oct. 01, 2023	Oct. 02, 2022
Impairment of Long-Lived Assets
Impairment of long-lived assets	$ 59	$ 206	$ 513	$ 2,682
Company-operated restaurants
Impairment of Long-Lived Assets
Impairment of long-lived assets	0	159	428	2,234
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	$ 59	$ 47	$ 85	$ 254