Income Taxes - Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Thousands	Jan. 01, 2022	Jan. 02, 2021
Deferred tax assets:
Compensation related	$ 21,543	$ 12,328
Pension and post-retirement benefits	49,072	88,709
Inventory reserves	14,453	14,732
Accrued liabilities and reserves	17,088	22,049
Warranty reserves	19,286	17,890
Operating lease liability	18,643	16,180
Interest Rate Swaps	4,573	12,997
Convertible debt	37,034	0
Net operating loss carryforwards	17,083	20,747
Other	12,695	17,187
Gross deferred tax assets	211,470	222,819
Valuation allowance	(10,222)	(11,731)
Deferred tax assets	201,248	211,088
Deferred tax liabilities:
Intangible assets	(273,974)	(226,598)
Depreciable assets	(26,996)	(26,916)
Basis difference on affiliates	(18,795)	0
Operating lease right-of-use assets	(18,029)	(15,921)
Other	(17,195)	(12,825)
Deferred Tax Liabilities, Gross	354,989	282,260
Deferred Tax Liabilities, Net	(153,741)	(71,172)
Deferred Income Tax Assets, Net	33,194	76,052
Deferred Income Tax Liabilities, Net	$ (186,935)	$ (147,224)