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Divestitures (Details)
3 Months Ended 6 Months Ended 12 Months Ended
Sep. 30, 2024
USD ($)
franchise
Aug. 02, 2024
USD ($)
asset
renewal_option
Oct. 22, 2023
USD ($)
Mar. 28, 2022
USD ($)
restaurant
Jun. 26, 2022
USD ($)
Mar. 27, 2022
USD ($)
Sep. 29, 2024
franchise
Dec. 29, 2024
USD ($)
Dec. 31, 2023
USD ($)
Dec. 25, 2022
USD ($)
Assets Held for Sale                    
Gain on sale-leaseback               $ 41,289,000 $ 0 $ 0
Goodwill allocated to the disposal group               453,000 436,000  
Impairment of franchise rights           $ 2,800,000        
Impairment, Intangible Asset, Finite-Lived, Statement of Income or Comprehensive Income [Extensible Enumeration]           Asset Impairment Charges        
International Transformation Plan                    
Assets Held for Sale                    
Number of franchises sold | franchise             60      
Disposal group, disposed of by sale, not discontinued operations                    
Assets Held for Sale                    
Upfront consideration $ 2,600,000             2,600,000    
Number of franchises sold | franchise 15                  
Remeasurement loss on transfer to held for sale               5,500,000    
Net sale proceeds       $ 14,000,000.0            
Non-cash charge         $ 8,400,000          
Noncontrolling interest       4,200,000            
Unearned royalty stream       $ 12,200,000            
Unearned royalty stream recognition period       10 years            
Goodwill allocated to the disposal group       $ 9,900,000            
Disposal group, disposed of by sale, not discontinued operations | Corporate joint venture                    
Assets Held for Sale                    
Ownership percentage in divested joint venture       51.00%            
Number of restaurants divested | restaurant       90            
Disposal group, disposed of by sale, not discontinued operations | Domestic QC Centers                    
Assets Held for Sale                    
Number of QC centers sold in sale-leaseback | asset   2                
Upfront consideration   $ 46,700,000                
Sale-leaseback lease term   17 years                
Number of renewal options for sale-leaseback | renewal_option   2                
Sale-leaseback lease renewal term   5 years                
Percentage annual increase in rent for sale-leaseback   2.75%                
Gain on sale-leaseback               41,300,000    
Disposal group, disposed of by sale, not discontinued operations | Domestic QC Centers | Texas QC Center                    
Assets Held for Sale                    
Annual rent payments for the first year of sale-leaseback   $ 2,000,000.0                
Disposal group, disposed of by sale, not discontinued operations | Domestic QC Centers | Florida QC Center                    
Assets Held for Sale                    
Annual rent payments for the first year of sale-leaseback   $ 1,000,000.0                
Disposal group, disposed of by sale, not discontinued operations | Preferred Marketing Solutions                    
Assets Held for Sale                    
Upfront consideration     $ 600,000              
Quarterly royalty payments recognition period     10 years              
Net assets of sold operations     $ 1,200,000              
Property and equipment of sold operations     600,000              
Goodwill of sold operations     $ 400,000           $ 400,000  
Gain (loss) on sale               $ 0