Segment Information - Other Income (Expense) Adjustments (Details) $ in Thousands		3 Months Ended	9 Months Ended
Jul. 18, 2025 restaurant	Sep. 28, 2025 USD ($) restaurant	Sep. 29, 2024 USD ($) restaurant	Sep. 28, 2025 USD ($) restaurant	Sep. 29, 2024 USD ($) restaurant
Segment Reporting Information [Line Items]
Depreciation and amortization		$ 24,914	$ 17,260	$ 62,076	$ 52,528
Stock-based compensation expense		4,639	3,358	12,132	5,903
Gain on sale of QC Center properties		0	(41,289)	0	(41,289)
International restructuring costs		231	3,862	4,862	19,514
Other costs		1,804	1,495	6,302	5,495
Other (income)/expense adjustments		31,588	$ (15,314)	85,372	$ 42,151
Corporate Joint Venture
Segment Reporting Information [Line Items]
Other costs		$ 100		$ 100
Percent of joint venture sold	70.00%
Number of restaurants \| restaurant		98	98	98	98
Corporate Joint Venture \| Domestic Company-Owned Restaurants
Segment Reporting Information [Line Items]
Number of restaurants \| restaurant	85

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Amount of expense for allocation of cost of tangible and intangible assets over their useful lives, and reduction in quantity of natural resource due to consumption directly used in production of good and rendering of service.

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