Leases Properties Leased to Third Parties (Details) - USD ($) $ in Thousands	Jan. 02, 2022	Jan. 03, 2021
Property, Plant and Equipment
Properties owned by Company and leased to franchisees under operating lease, before accumulated depreciation	$ 548,996	$ 591,262
Accumulated depreciation and amortization	(173,243)	(170,722)
Properties owned by Company and leased to franchisees under operating lease, after accumulated depreciation	375,753	420,540
Land
Property, Plant and Equipment
Properties owned by Company and leased to franchisees under operating lease, before accumulated depreciation	258,513	279,956
Buildings and improvements
Property, Plant and Equipment
Properties owned by Company and leased to franchisees under operating lease, before accumulated depreciation	288,782	309,605
Restaurant equipment
Property, Plant and Equipment
Properties owned by Company and leased to franchisees under operating lease, before accumulated depreciation	$ 1,701	$ 1,701