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Nature of Operations and Summary of Significant Accounting Policies - Intangible Assets By Major Asset Class (Details) - USD ($)
$ in Thousands
 9 Months Ended 12 Months Ended
Oct. 02, 2021
Jan. 02, 2021
Acquired Definite-Lived Intangible Assets [Line Items]    
Gross $ 310,528 $ 254,114
Accumulated Amortization (129,334) (114,458)
Currency Translation (4,979) (3,118)
Net 176,215 136,538
Acquired Intangible Assets [Abstract]    
Gross 339,587 278,214
Currency Translation (4,925) (2,791)
Net 205,328 160,965
Tradenames    
Acquired Indefinite-Lived Intangible Assets [Line Items]    
Gross 29,059 24,100
Currency Translation 54 327
Net 29,113 24,427
Customer relationships    
Acquired Definite-Lived Intangible Assets [Line Items]    
Gross 215,366 173,728
Accumulated Amortization (75,978) (65,488)
Currency Translation (2,613) (1,316)
Net 136,775 106,924
Product technology    
Acquired Definite-Lived Intangible Assets [Line Items]    
Gross 67,625 56,111
Accumulated Amortization (34,615) (31,655)
Currency Translation (1,468) (1,005)
Net 31,542 23,451
Tradenames    
Acquired Definite-Lived Intangible Assets [Line Items]    
Gross 7,427 6,027
Accumulated Amortization (3,278) (2,946)
Currency Translation (346) (282)
Net 3,803 2,799
Other    
Acquired Definite-Lived Intangible Assets [Line Items]    
Gross 20,110 18,248
Accumulated Amortization (15,463) (14,369)
Currency Translation (552) (515)
Net $ 4,095 $ 3,364