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Revenue Contract Balances (Details) - USD ($)
$ in Thousands
3 Months Ended
Apr. 02, 2023
Apr. 03, 2022
Jan. 01, 2023
Contract balances      
Deferred franchise fees at beginning of period $ 99,208 $ 97,186  
Revenue recognized during the period (2,814) (2,283)  
New deferrals due to cash received and other 1,300 3,526  
Deferred franchise fees at end of period 97,694 $ 98,429  
Deferred franchise fees, noncurrent 88,161   $ 90,231
Accounts and notes receivable, net | Short-term Contract with Customer      
Contract balances      
Receivables, Net, Current 55,588   54,497
Advertising funds restricted assets | Short-term Contract with Customer      
Contract balances      
Receivables, Net, Current 65,735   70,422
Accrued expenses and other current liabilities      
Contract balances      
Deferred franchise fees, current 9,533   8,977
Deferred franchise fees      
Contract balances      
Deferred franchise fees, noncurrent $ 88,161   $ 90,231