Reorganization and Realignment Costs System Optimization Costs (Details) $ in Thousands	3 Months Ended		12 Months Ended
	Apr. 03, 2022 USD ($) number_of_restaurants	Apr. 04, 2021 USD ($) number_of_restaurants	Jan. 02, 2022 number_of_restaurants
Restructuring Cost and Reserve
Reorganization and realignment costs	$ 464	$ 4,934
Acquisitions
Restructuring Cost and Reserve
Restaurants acquired from franchisees | number_of_restaurants	0	0	93
System Optimization Initiative
Restructuring Cost and Reserve
Reorganization and realignment costs	$ 407	$ 4,678
Restructuring and Related Cost, Expected Benefit Remaining	900
Restructuring and Related Cost, Incurred Cost	390	1,589
Restructuring and Related Cost, Cost Incurred to Date	50,583
Restructuring Charges, Incurred to Date	83,867
System Optimization Initiative | Acquisitions
Restructuring Cost and Reserve
Restaurants acquired from franchisees | number_of_restaurants			93
System Optimization Initiative | Severance and related employee costs
Restructuring Cost and Reserve
Restructuring and Related Cost, Incurred Cost	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	294	235
Restructuring and Related Cost, Cost Incurred to Date	23,971
System Optimization Initiative | Other
Restructuring Cost and Reserve
Restructuring and Related Cost, Incurred Cost	96	1,354
Restructuring and Related Cost, Cost Incurred to Date	7,714
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
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	17	3,089
Restructuring and Related Cost, Cost Incurred to Date	2,873
System Optimization Initiative | NPC lease termination costs | Write-Off of Lease Assets
Restructuring Cost and Reserve
Restructuring and Related Cost, Incurred Cost	1,609
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
Restructuring and Related Cost, Cost Incurred to Date	$ 5,013