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Contract Balances (Details) - USD ($)
$ in Thousands
12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Contract balances      
Deferred franchise fees at beginning of period $ 97,186 $ 97,785 $ 100,689
Revenue recognized during the period (11,567) (19,838) (8,955)
New deferrals due to cash received and other 13,589 19,239 6,051
Deferred franchise fees at end of period 99,208 97,186 $ 97,785
Deferred franchise fees, current 8,977 9,084  
Deferred franchise fees, noncurrent 90,231 88,102  
Accounts and notes receivable, net | Short-term Contract with Customer      
Contract balances      
Receivables, Net, Current 54,497 49,168  
Advertising funds restricted assets | Short-term Contract with Customer      
Contract balances      
Receivables, Net, Current $ 70,422 $ 65,497