Impairment of Long-Lived Assets (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Impairment of Long-Lived Assets
Impairment of long-lived assets	$ 2,251	$ 8,037	$ 6,999
Company-operated restaurants
Impairment of Long-Lived Assets
Impairment of long-lived assets	1,862	7,586	294
Restaurants leased or subleased to franchisees
Impairment of Long-Lived Assets
Impairment of long-lived assets	189	0	5,308
Surplus properties
Impairment of Long-Lived Assets
Impairment of long-lived assets	$ 200	$ 451	$ 1,397