Reorganization and Realignment Costs System Optimization Costs (Details) $ in Thousands	12 Months Ended
	Jan. 02, 2022 USD ($) number_of_restaurants	Jan. 03, 2021 USD ($) number_of_restaurants	Dec. 29, 2019 USD ($) number_of_restaurants
Restructuring Cost and Reserve
Reorganization and realignment costs	$ 8,548	$ 16,030	$ 16,965
Acquisitions
Restructuring Cost and Reserve
Restaurants acquired from franchisees | number_of_restaurants	93	0	5
System Optimization Initiative
Restructuring Cost and Reserve
Reorganization and realignment costs	$ 6,852	$ 4,327	$ 89
Restructuring and Related Cost, Expected Benefit Remaining	800
Restructuring and Related Cost, Incurred Cost	3,996	4,327	89
Restructuring and Related Cost, Cost Incurred to Date	50,193
Restructuring Charges, Incurred to Date	83,460
System Optimization Initiative | Severance and related employee costs
Restructuring Cost and Reserve
Restructuring and Related Cost, Incurred Cost	661	0	0
Restructuring and Related Cost, Cost Incurred to Date	18,898
System Optimization Initiative | Professional fees
Restructuring Cost and Reserve
Restructuring and Related Cost, Incurred Cost	1,570	4,323	72
Restructuring and Related Cost, Cost Incurred to Date	23,677
System Optimization Initiative | Other
Restructuring Cost and Reserve
Restructuring and Related Cost, Incurred Cost	1,765	4	17
Restructuring and Related Cost, Cost Incurred to Date	7,618
System Optimization Initiative | Other | NPC Transaction Fees
Restructuring Cost and Reserve
Restructuring and Related Cost, Incurred Cost	1,350
System Optimization Initiative | Accelerated depreciation and amortization
Restructuring Cost and Reserve
Restructuring and Related Cost, Incurred Cost	0	0	0
Restructuring and Related Cost, Cost Incurred to Date	25,398
System Optimization Initiative | NPC lease termination costs
Restructuring Cost and Reserve
Restructuring and Related Cost, Incurred Cost	2,856	0	0
Restructuring and Related Cost, Cost Incurred to Date	2,856
System Optimization Initiative | NPC lease termination costs | Write-Off of Lease Assets
Restructuring Cost and Reserve
Restructuring and Related Cost, Incurred Cost	1,376
System Optimization Initiative | NPC lease termination costs | Lease Termination Fees
Restructuring Cost and Reserve
Restructuring and Related Cost, Incurred Cost	1,480
System Optimization Initiative | Share-based compensation
Restructuring Cost and Reserve
Restructuring and Related Cost, Incurred Cost	0	$ 0	$ 0
Restructuring and Related Cost, Cost Incurred to Date	$ 5,013