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Acquisitions (Details)
$ in Thousands
3 Months Ended 12 Months Ended
Apr. 04, 2021
USD ($)
numberOfMarkets
Jan. 01, 2023
USD ($)
number_of_restaurants
Jan. 02, 2022
USD ($)
number_of_restaurants
Jan. 03, 2021
USD ($)
number_of_restaurants
Nov. 18, 2020
numberOfMarkets
Jul. 31, 2020
numberOfMarkets
number_of_restaurants
Business Acquisition            
Number of Restaurants | number_of_restaurants   7,095        
Goodwill   $ 773,088 $ 775,278 $ 751,049    
Number of markets to be sold by NPC | numberOfMarkets           8
NPC consortium bid: number of markets to be purchased by franchisees | numberOfMarkets         7  
NPC consortium bid: number of markets to be purchased by Company | numberOfMarkets         1  
NPC Consortium bid deposit       43,240    
NPC Consortium bid payable       38,361    
NPC asset purchase agreement: number of markets to be purchased by FRG | numberOfMarkets 4          
NPC asset purchase agreement: number of markets to be purchased by franchisees | numberOfMarkets 4          
Acquisitions   $ 0 $ 123,069 $ 4,879    
Acquisitions            
Business Acquisition            
Restaurants acquired from franchisees | number_of_restaurants   0 93 0    
Total consideration paid, net of cash received     $ 127,948      
Properties     21,984      
Acquired franchise rights     81,239      
Total identifiable net assets     104,506      
Goodwill     23,442      
Business combination, provisional information, initial accounting incomplete, adjustment, financial assets   $ 260        
Finance lease assets | Acquisitions            
Business Acquisition            
Lease assets     25,547      
Operating lease assets | Acquisitions            
Business Acquisition            
Lease assets     44,282      
Finance lease liabilities | Acquisitions            
Business Acquisition            
Lease liabilities     (25,059)      
Operating lease liabilities | Acquisitions            
Business Acquisition            
Lease liabilities     (43,478)      
Settlement of NPC-related deposits            
Business Acquisition            
Acquisitions $ (4,879)          
Other liabilities | Acquisitions            
Business Acquisition            
Other     $ (9)      
Restaurants under construction | Acquisitions            
Business Acquisition            
Restaurants acquired from franchisees | number_of_restaurants     2      
NPC franchised restaurants            
Business Acquisition            
Number of Restaurants | number_of_restaurants           393