Goodwill And Other Intangible Assets Schedule of Finite-Lived And Indefinite Lived Intangible Assets (Details) - USD ($) $ in Thousands	Jan. 01, 2023	Jan. 02, 2022
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Indefinite Lived And Finite Lived Intangible Assets, Gross	$ 1,759,132	$ 1,737,564
Finite-Lived Intangible Assets, Accumulated Amortization	(510,332)	(456,773)
Finite-Lived Intangible Assets, Net	345,800
Other intangible assets	1,248,800	1,280,791
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	348,293	349,391
Finite-Lived Intangible Assets, Accumulated Amortization	(236,536)	(220,663)
Finite-Lived Intangible Assets, Net	111,757	128,728
Favorable leases
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Finite-Lived Intangible Assets, Gross	154,048	159,488
Finite-Lived Intangible Assets, Accumulated Amortization	(67,928)	(62,136)
Finite-Lived Intangible Assets, Net	86,120	97,352
Reacquired rights under franchise agreements
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Finite-Lived Intangible Assets, Gross	90,509	91,111
Finite-Lived Intangible Assets, Accumulated Amortization	(10,536)	(4,732)
Finite-Lived Intangible Assets, Net	79,973	86,379
Software
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Finite-Lived Intangible Assets, Gross	263,282	234,574
Finite-Lived Intangible Assets, Accumulated Amortization	(195,332)	(169,242)
Finite-Lived Intangible Assets, Net	$ 67,950	$ 65,332