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Goodwill and Intangible Assets, Net (Narrative) (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Jan. 04, 2021
Oct. 03, 2021
Oct. 04, 2020
Oct. 03, 2021
Oct. 04, 2020
Jan. 03, 2021
Goodwill and Intangible Assets Net [Line Items]            
Change in any one of the input assumptions for the various reporting units 10.00%          
Goodwill   $ 7,420,271   $ 7,420,271   $ 3,447,114
Total amortization expense related to finite-lived intangible assets   71,000 $ 48,900 184,700 $ 142,900  
Future Amortization Expense, Remainder of Fiscal Year   101,100   101,100    
Future Amortization Expense, Year One   414,300   414,300    
Future Amortization Expense, Year Two   403,100   403,100    
Future Amortization Expense, Year Three   390,900   390,900    
Future Amortization Expense, Year Four   363,300   363,300    
Finite-Lived Intangible Assets, Net   4,090,152   4,090,152   1,295,109
Intangible assets, net   4,160,736   4,160,736   1,365,693
Minimum [Member]            
Goodwill and Intangible Assets Net [Line Items]            
Long-term terminal growth rates for reporting units 3.00%          
Discount rates for reporting units 8.00%          
Maximum [Member]            
Goodwill and Intangible Assets Net [Line Items]            
Long-term terminal growth rates for reporting units 5.00%          
Discount rates for reporting units 12.50%          
Patents [Member]            
Goodwill and Intangible Assets Net [Line Items]            
Gross amortizable intangible assets   31,037   31,037   30,855
Less: Accumulated amortization   28,641   28,641   28,440
Finite-Lived Intangible Assets, Net   2,396   2,396   2,415
Trade Names And Trademarks [Member]            
Goodwill and Intangible Assets Net [Line Items]            
Gross amortizable intangible assets   171,976   171,976   98,661
Less: Accumulated amortization   55,853   55,853   48,806
Finite-Lived Intangible Assets, Net   116,123   116,123   49,855
Licensing Agreements [Member]            
Goodwill and Intangible Assets Net [Line Items]            
Gross amortizable intangible assets   68,297   68,297   58,700
Less: Accumulated amortization   54,069   54,069   52,452
Finite-Lived Intangible Assets, Net   14,228   14,228   6,248
Core Technology [Member]            
Goodwill and Intangible Assets Net [Line Items]            
Gross amortizable intangible assets   1,842,229   1,842,229   789,799
Less: Accumulated amortization   458,426   458,426   398,992
Finite-Lived Intangible Assets, Net   1,383,803   1,383,803   390,807
Customer Relationships [Member]            
Goodwill and Intangible Assets Net [Line Items]            
Gross amortizable intangible assets   3,184,009   3,184,009   1,357,660
Less: Accumulated amortization   616,332   616,332   522,820
Finite-Lived Intangible Assets, Net   2,567,677   2,567,677   834,840
In-process Research and Development [Member]            
Goodwill and Intangible Assets Net [Line Items]            
Gross amortizable intangible assets   $ 5,925   $ 5,925   $ 10,944
Tulip Diagnostics Private Limited [Member]            
Goodwill and Intangible Assets Net [Line Items]            
Goodwill $ 77,800