Government Assistance - Additional Information (Details) - USD ($)	3 Months Ended		9 Months Ended		12 Months Ended
	Oct. 03, 2026	Sep. 27, 2025	Oct. 03, 2026	Sep. 27, 2025	Dec. 30, 2023	Jan. 03, 2026
Government Assistance [Line Items]
Food subsidies	$ 14,200,000	$ 13,800,000	$ 40,900,000	$ 40,400,000
Reimbursements offsetting cost of services	9,400,000	$ 12,000,000	32,400,000	$ 36,800,000
Location, Statement of Financial Position, Balance [Axis]: us-gaap:OtherLiabilitiesCurrent
Government Assistance [Line Items]
Government support, deferred liability	8,100,000		8,100,000			$ 8,500,000
Location, Statement of Financial Position, Balance [Axis]: us-gaap:PrepaidExpenseAndOtherAssetsCurrent
Government Assistance [Line Items]
Grants receivable	0		0			300,000
COVID-19 Related Stimulus \| Employee Retention Credit
Government Assistance [Line Items]
Reimbursements of cash tax refunds					$ 62,000,000
Reimbursements of interest income					$ 2,300,000
COVID-19 Related Stimulus \| Location, Statement of Financial Position, Balance [Axis]: us-gaap:OtherAssetsNoncurrent
Government Assistance [Line Items]
Employee retention credits receivable, non-current	3,400,000		3,400,000			3,400,000
COVID-19 Related Stimulus \| Location, Statement of Financial Position, Balance [Axis]: us-gaap:OtherLiabilitiesNoncurrent
Government Assistance [Line Items]
Deferred employee retention credits noncurrent	$ 12,300,000		$ 12,300,000			$ 12,300,000