Leases Future Minimum Rental Payments for Non-cancelable Leases (Details) - USD ($) $ in Thousands	Jan. 01, 2023	Jan. 02, 2022
Operating Lease Liabilities, Payments Due
Current portion of finance lease liabilities	$ 18,316	$ 15,513
Long-term finance lease liabilities	571,877	559,587
Current portion of operating lease liabilities	48,120	47,315
Long-term operating lease liabilities	792,051	$ 853,328
Entity Operated Units
Finance Lease Liabilities, Payments, Due
Future minimum finance lease payments, next twelve months	6,590
Future minimum finance lease payments, due year two	6,683
Future minimum finance lease payments, due year three	6,883
Future minimum finance lease payments, due year four	7,028
Future minimum finance lease payments, due year five	7,072
Future minimum finance lease payments, due after year five	81,853
Total minimum finance lease payments	116,109
Interest incurred on total minimum finance lease payments	(39,079)
Present value of minimum finance lease payments	77,030
Operating Lease Liabilities, Payments Due
Future minimum operating lease payments, next twelve months	21,948
Future minimum operating lease payments, due year two	21,891
Future minimum operating lease payments, due year three	21,666
Future minimum operating lease payments, due year four	22,113
Future minimum operating lease payments, due year five	22,047
Future minimum operating lease payments, due after year five	185,694
Total minimum operating lease payments	295,359
Interest incurred on total minimum operating lease payments	(78,935)
Present value of minimum operating lease payments	216,424
Franchised Units
Finance Lease Liabilities, Payments, Due
Future minimum finance lease payments, next twelve months	54,163
Future minimum finance lease payments, due year two	54,763
Future minimum finance lease payments, due year three	55,357
Future minimum finance lease payments, due year four	57,043
Future minimum finance lease payments, due year five	57,742
Future minimum finance lease payments, due after year five	603,101
Total minimum finance lease payments	882,169
Interest incurred on total minimum finance lease payments	(369,006)
Present value of minimum finance lease payments	513,163
Operating Lease Liabilities, Payments Due
Future minimum operating lease payments, next twelve months	65,838
Future minimum operating lease payments, due year two	66,211
Future minimum operating lease payments, due year three	66,072
Future minimum operating lease payments, due year four	65,314
Future minimum operating lease payments, due year five	64,901
Future minimum operating lease payments, due after year five	537,504
Total minimum operating lease payments	865,840
Interest incurred on total minimum operating lease payments	(242,093)
Present value of minimum operating lease payments	$ 623,747