Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Thousands	Apr. 02, 2022	Jan. 01, 2022
Finite-Lived Intangible Assets [Line Items]
Gross	$ 322,477	$ 320,653
Accumulated Amortization	180,030	173,026
Net	142,447	147,627
Software
Finite-Lived Intangible Assets [Line Items]
Gross	198,720	196,754
Accumulated Amortization	107,597	102,072
Net	91,123	94,682
Trademarks and trade names
Finite-Lived Intangible Assets [Line Items]
Gross	14,264	14,264
Accumulated Amortization	4,927	4,600
Net	9,337	9,664
Customer lists and other
Finite-Lived Intangible Assets [Line Items]
Gross	109,493	109,635
Accumulated Amortization	67,506	66,354
Net	$ 41,987	$ 43,281