Goodwill And Other Intangible Assets Schedule of Finite-Lived And Indefinite Lived Intangible Assets (Details) - USD ($) $ in Thousands	Jan. 02, 2022	Jan. 03, 2021
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Indefinite Lived And Finite Lived Intangible Assets, Gross	$ 1,737,564	$ 1,631,883
Finite-Lived Intangible Assets, Accumulated Amortization	(456,773)	(406,923)
Other intangible assets	1,280,791	1,224,960
Trademarks
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Indefinite-lived Intangible Assets (Excluding Goodwill)	903,000	903,000
Franchise agreements
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Finite-Lived Intangible Assets, Gross	349,391	349,255
Finite-Lived Intangible Assets, Accumulated Amortization	(220,663)	(203,938)
Finite-Lived Intangible Assets, Net	128,728	145,317
Favorable leases
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Finite-Lived Intangible Assets, Gross	159,488	163,015
Finite-Lived Intangible Assets, Accumulated Amortization	(62,136)	(55,581)
Finite-Lived Intangible Assets, Net	97,352	107,434
Reacquired rights under franchise agreements
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Finite-Lived Intangible Assets, Gross	91,111	9,872
Finite-Lived Intangible Assets, Accumulated Amortization	(4,732)	(3,414)
Finite-Lived Intangible Assets, Net	86,379	6,458
Software
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Finite-Lived Intangible Assets, Gross	234,574	206,741
Finite-Lived Intangible Assets, Accumulated Amortization	(169,242)	(143,990)
Finite-Lived Intangible Assets, Net	$ 65,332	$ 62,751