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Leases Properties Leased to Third Parties (Details) - USD ($) $ in Thousands | Jan. 02, 2022 | Jan. 03, 2021
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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

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