Leases Properties Leased to Third Parties (Details) - USD ($) $ in Thousands	Dec. 31, 2023	Jan. 01, 2023
Property, Plant and Equipment
Properties owned by Company and leased to franchisees under operating lease, before accumulated depreciation	$ 558,068	$ 554,010
Accumulated depreciation and amortization	(198,429)	(187,269)
Properties owned by Company and leased to franchisees under operating lease, after accumulated depreciation	359,639	366,741
Land
Property, Plant and Equipment
Properties owned by Company and leased to franchisees under operating lease, before accumulated depreciation	260,125	260,650
Buildings and improvements
Property, Plant and Equipment
Properties owned by Company and leased to franchisees under operating lease, before accumulated depreciation	296,242	291,659
Restaurant equipment
Property, Plant and Equipment
Properties owned by Company and leased to franchisees under operating lease, before accumulated depreciation	$ 1,701	$ 1,701