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Cash and Receivables Accounts and Notes Receivable (Details) - USD ($)
$ in Thousands
12 Months Ended
Jan. 03, 2021
Dec. 29, 2019
Dec. 30, 2018
Accounts, Notes, Loans and Financing Receivable      
Accounts receivable, gross, current $ 97,399 $ 103,852  
Accounts receivable, allowance for doubtful accounts, current 3,739 3,314  
Accounts receivable, net current 93,660 100,538  
Notes receivable from franchisees, gross, current 21,227 23,628  
Notes receivable from franchisees, gross, noncurrent 6,759 1,617  
Notes receivable, allowance for doubtful accounts, current (4,996) (6,705)  
Notes receivable from franchisees, net, current 16,231 16,923  
Accounts and notes receivables, gross, current 118,626 127,480  
Accounts and notes receivable, allowance for doubtful accounts, current (8,735) (10,019)  
Accounts and notes receivable, net, current 109,891 117,461  
Notes receivable from franchisees, allowance for doubtful accounts, noncurrent 629 0  
Notes receivable from franchisees, net, noncurrent 6,130 1,617  
Increase (Decrease) in Accounts Receivable 16,243 (16,935) $ (13,226)
Rent Receivable      
Accounts, Notes, Loans and Financing Receivable      
Increase (Decrease) in Accounts Receivable 5,226    
Accounts and Notes Receivable Net      
Accounts, Notes, Loans and Financing Receivable      
Income taxes receivable 5,399 13,555  
Insurance settlements receivable   25,350  
Sales-type and direct financing leases, lease receivable 5,965 3,146  
U.S. franchisee      
Accounts, Notes, Loans and Financing Receivable      
Notes receivable from franchisees, gross, current   1,000  
India franchisee      
Accounts, Notes, Loans and Financing Receivable      
Notes receivable from franchisees, gross, current 356 1,000  
Notes receivable from franchisees, gross, noncurrent 629    
Notes receivable, allowance for doubtful accounts, current   (985)  
Financing Receivable, Allowance for Credit Loss, Current and Noncurrent (985)    
Indonesia franchisee      
Accounts, Notes, Loans and Financing Receivable      
Notes receivable from franchisees, gross, current 831 1,262  
Notes receivable from franchisees, gross, noncurrent 1,780 1,617  
Brazil JV      
Accounts, Notes, Loans and Financing Receivable      
Notes receivable from franchisees, gross, current 12,775 $ 15,920  
Notes receivable from franchisees, gross, noncurrent $ 4,350