Goodwill And Other Intangible Assets Schedule of Finite-Lived And Indefinite Lived Intangible Assets (Details) - USD ($) $ in Thousands	Dec. 31, 2023	Jan. 01, 2023
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Indefinite Lived And Finite Lived Intangible Assets, Gross	$ 1,780,993	$ 1,759,132
Finite-Lived Intangible Assets, Accumulated Amortization	(561,864)	(510,332)
Finite-Lived Intangible Assets, Net	316,129
Other intangible assets	1,219,129	1,248,800
Trademarks
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Indefinite-lived Intangible Assets (Excluding Goodwill)	903,000	903,000
Indefinite-Lived Intangible Assets, Accumulated Amortization	0	0
Franchise agreements
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Finite-Lived Intangible Assets, Gross	348,657	348,293
Finite-Lived Intangible Assets, Accumulated Amortization	(253,398)	(236,536)
Finite-Lived Intangible Assets, Net	95,259	111,757
Favorable leases
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Finite-Lived Intangible Assets, Gross	152,558	154,048
Finite-Lived Intangible Assets, Accumulated Amortization	(75,502)	(67,928)
Finite-Lived Intangible Assets, Net	77,056	86,120
Reacquired rights under franchise agreements
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Finite-Lived Intangible Assets, Gross	90,509	90,509
Finite-Lived Intangible Assets, Accumulated Amortization	(17,157)	(10,536)
Finite-Lived Intangible Assets, Net	73,352	79,973
Software
Schedule of Finite Lived and Indefinite Lived Intangible Assets
Finite-Lived Intangible Assets, Gross	286,269	263,282
Finite-Lived Intangible Assets, Accumulated Amortization	(215,807)	(195,332)
Finite-Lived Intangible Assets, Net	$ 70,462	$ 67,950