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Revenue Contract Balances (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2023
Jan. 01, 2023
Jan. 02, 2022
Contract balances      
Deferred franchise fees at beginning of period $ 99,208 $ 97,186 $ 97,785
Revenue recognized during the period (12,242) (11,567) (19,838)
New deferrals due to cash received and other 13,839 13,589 19,239
Deferred franchise fees at end of period 100,805 99,208 $ 97,186
Deferred franchise fees, noncurrent 90,132 90,231  
Accounts and notes receivable, net | Short-term Contract with Customer      
Contract balances      
Receivables, Net, Current 55,293 54,497  
Advertising funds restricted assets | Short-term Contract with Customer      
Contract balances      
Receivables, Net, Current 76,838 70,422  
Accrued expenses and other current liabilities      
Contract balances      
Deferred franchise fees, current 10,673 8,977  
Deferred Franchise Fees      
Contract balances      
Deferred franchise fees, noncurrent $ 90,132 $ 90,231