Income Taxes - Net Deferred Tax Liabilities (Details) - USD ($) $ in Thousands	Jan. 01, 2023	Jan. 02, 2022
Deferred tax assets
Lease liability	$ 23,649	$ 25,426
Net operating loss and interest carryforwards	7,616	5,962
Federal tax credit carryforwards	10,904	10,054
Derivative instruments	295	1,126
Deferred compensation	16,577	19,487
Inventory	3,521	3,100
Prepaids, accruals and reserves	6,947	8,777
Capitalized costs	7,467	4,805
Pensions	0	6,431
Other	58	175
Deferred tax asset, gross	77,034	85,343
Valuation allowance	(18,236)	(15,338)
Deferred tax asset, net	58,798	70,005
Deferred tax liabilities
Property and equipment	25,319	25,352
Intangible assets	25,533	30,736
Lease asset	22,811	24,856
Pensions	4,284	0
Foreign currency	600	458
Foreign withholding and U.S. state taxes on unremitted earnings	1,146	1,332
Deferred tax liabilities	79,693	82,734
Net deferred tax liabilities	$ 20,895	$ 12,729