Impairment of Long-Lived Assets (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
Impairment of Long-Lived Assets
Impairment of long-lived assets	$ 8,037	$ 6,999	$ 4,697
Company-operated restaurants
Impairment of Long-Lived Assets
Impairment of long-lived assets	7,586	294	4,060
Restaurants leased or subleased to franchisees
Impairment of Long-Lived Assets
Impairment of long-lived assets	0	5,308	283
Surplus properties
Impairment of Long-Lived Assets
Impairment of long-lived assets	$ 451	$ 1,397	$ 354