Business and Summary of Significant Accounting Policies - Revenue Recognition and Franchise (Details) - restaurant	12 Months Ended
	Jan. 03, 2023	Dec. 28, 2021	Dec. 29, 2020
Franchisor Disclosure [Line Items]
Percent of gift cards expected to be unredeemed (percent)	13.00%
Gift card estimated redemption period	24 months
Number of restaurants closed	5	12	6
Franchise
Franchisor Disclosure [Line Items]
Number of restaurants	93	76	76
Number of restaurants opened during period	3	1	0
Number of restaurants closed	1	1	1
Number of company-owned restaurants acquired by franchisees	15		9