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Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($)
$ in Thousands
Apr. 03, 2021
Jan. 02, 2021
Finite-Lived Intangible Assets [Line Items]    
Gross $ 285,626 $ 283,093
Accumulated Amortization 150,389 143,230
Net 135,237 139,863
Software    
Finite-Lived Intangible Assets [Line Items]    
Gross 184,752 182,127
Accumulated Amortization 84,205 78,619
Net 100,547 103,508
Trademarks and trade names    
Finite-Lived Intangible Assets [Line Items]    
Gross 9,964 9,964
Accumulated Amortization 3,764 3,546
Net 6,200 6,418
Customer lists and other    
Finite-Lived Intangible Assets [Line Items]    
Gross 90,910 91,002
Accumulated Amortization 62,420 61,065
Net $ 28,490 $ 29,937