Reconciliation of Total Segment Income to Consolidated Income Before Provision for Income Taxes (Detail) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Segment Reconciliation [Abstract]
Total Segment Income	$ 857,525	$ 883,699	$ 817,846
Depreciation and amortization	(80,251)	(72,923)	(65,038)
Refranchising gain	21,173	0	0
Loss on sale/disposal of assets	(1,813)	(1,189)	(2,922)
Non-cash equity-based compensation expense	(28,709)	(28,670)	(24,244)
Recapitalization-related expenses	0	(509)	0
Income from operations	767,925	780,408	725,642
Other Income	0	36,758	0
Interest income	3,162	345	1,654
Interest expense	(198,254)	(191,806)	(172,166)
Income before provision for income taxes	$ 572,833	$ 625,705	$ 555,130