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Revenue Contract Balances (Details) - USD ($)
$ in Thousands
9 Months Ended
Oct. 01, 2023
Oct. 02, 2022
Jan. 01, 2023
Contract balances      
Deferred franchise fees at beginning of period $ 99,208 $ 97,186  
Revenue recognized during the period (9,016) (7,193)  
New deferrals due to cash received and other 9,697 10,143  
Deferred franchise fees at end of period 99,889 $ 100,136  
Deferred franchise fees, noncurrent 89,363   $ 90,231
Accounts and notes receivable, net | Short-term Contract with Customer      
Contract balances      
Receivables, Net, Current 54,931   54,497
Advertising funds restricted assets | Short-term Contract with Customer      
Contract balances      
Receivables, Net, Current 66,676   70,422
Accrued expenses and other current liabilities      
Contract balances      
Deferred franchise fees, current 10,526   8,977
Deferred franchise fees      
Contract balances      
Deferred franchise fees, noncurrent $ 89,363   $ 90,231