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Goodwill and Other Intangible Assets, net - Schedule of Other Intangible Assets (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 28, 2025
Sep. 29, 2024
Sep. 28, 2025
Sep. 29, 2024
Dec. 29, 2024
Intangible assets with definite lives          
Gross Carrying Amount $ 458,417   $ 458,417   $ 445,048
Accumulated Amortization (208,230)   (208,230)   (178,514)
Net Amount 250,187   250,187   266,534
Intangible Assets, Net (Excluding Goodwill) [Abstract]          
Gross Carrying Amount 1,011,817   1,011,817   998,448
Accumulated Amortization (208,230)   (208,230)   (178,514)
Net Amount 803,587   803,587   819,934
Amortization of intangible assets 7,901 $ 7,780 23,392 $ 22,597  
Trade names and trademarks          
Intangible assets with indefinite lives          
Trade names and trademarks 553,400   553,400   553,400
Franchise agreements          
Intangible assets with definite lives          
Gross Carrying Amount 27,154   27,154   27,154
Accumulated Amortization (12,035)   (12,035)   (11,050)
Net Amount 15,119   15,119   16,104
Intangible Assets, Net (Excluding Goodwill) [Abstract]          
Accumulated Amortization (12,035)   (12,035)   (11,050)
Customer relationships          
Intangible assets with definite lives          
Gross Carrying Amount 15,000   15,000   15,000
Accumulated Amortization (7,926)   (7,926)   (7,277)
Net Amount 7,074   7,074   7,723
Intangible Assets, Net (Excluding Goodwill) [Abstract]          
Accumulated Amortization (7,926)   (7,926)   (7,277)
Reacquired franchise rights          
Intangible assets with definite lives          
Gross Carrying Amount 416,263   416,263   402,894
Accumulated Amortization (188,269)   (188,269)   (160,187)
Net Amount 227,994   227,994   242,707
Intangible Assets, Net (Excluding Goodwill) [Abstract]          
Accumulated Amortization $ (188,269)   $ (188,269)   $ (160,187)