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Summary of Significant Accounting Policies (Details)
$ in Millions
12 Months Ended
Jan. 03, 2023
USD ($)
restaurant
Dec. 28, 2021
USD ($)
Dec. 29, 2020
Description of Business      
Number of company-owned upscale, casual, full-service dining restaurants 318    
Number of International locations operating under licensing agreements 30    
Number of bakery production facilities 2    
Basis of Presentation      
Length of fiscal year 371 days 364 days 364 days
Cash and Cash Equivalents      
Amounts receivable from credit card processors | $ $ 19.1 $ 17.5  
Conversion period, credit card sales 3 days