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Nature of Operations and Summary of Significant Accounting Policies - Schedule of Acquired Intangible Assets (Details) - USD ($)
$ in Thousands
Apr. 04, 2026
Jan. 03, 2026
Definite-Lived    
Gross $ 560,637 $ 560,520
Accumulated Amortization (240,002) (231,617)
Currency Translation (8,247) (7,499)
Net 312,388 321,404
Acquired Intangible Assets    
Gross 589,696 589,579
Accumulated Amortization (240,002) (231,617)
Currency Translation (8,524) (7,586)
Net 341,170 350,376
Tradenames    
Indefinite-Lived    
Gross 29,059 29,059
Currency Translation (277) (87)
Net 28,782 28,972
Customer relationships    
Definite-Lived    
Gross 414,746 414,629
Accumulated Amortization (154,612) (148,139)
Currency Translation (5,197) (4,483)
Net 254,937 262,007
Acquired Intangible Assets    
Accumulated Amortization (154,612) (148,139)
Product technology    
Definite-Lived    
Gross 96,744 96,744
Accumulated Amortization (56,416) (54,929)
Currency Translation (2,086) (2,076)
Net 38,242 39,739
Acquired Intangible Assets    
Accumulated Amortization (56,416) (54,929)
Tradenames    
Definite-Lived    
Gross 23,926 23,926
Accumulated Amortization (6,439) (6,106)
Currency Translation (401) (366)
Net 17,086 17,454
Acquired Intangible Assets    
Accumulated Amortization (6,439) (6,106)
Other    
Definite-Lived    
Gross 25,221 25,221
Accumulated Amortization (22,535) (22,443)
Currency Translation (563) (574)
Net 2,123 2,204
Acquired Intangible Assets    
Accumulated Amortization $ (22,535) $ (22,443)