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Goodwill and Intangible Assets, Net (Narrative) (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2017
Jan. 01, 2017
Jan. 03, 2016
Dec. 29, 2013
Dec. 30, 2012
Goodwill and Intangible Assets Net [Line Items]          
Change in any one of the input assumptions for the various reporting units 10.00%        
Total amortization expense related to finite-lived intangible assets $ 73,700 $ 71,500 $ 76,600    
Future Amortization Expense, Year One 139,100        
Future Amortization Expense, Year Two 145,700        
Future Amortization Expense, Year Three 147,400        
Future Amortization Expense, Year Four 132,000        
Future Amortization Expense, Year Five 119,800        
Finite-Lived Intangible Assets, Net 1,276,356 349,640      
Goodwill $ 3,002,198 2,247,966 2,236,863    
Impairment Testing Date 1/2/2017        
Minimum [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Long-term terminal growth rates for reporting units 0.00%        
Discount rates for reporting units 9.00%        
Maximum [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Long-term terminal growth rates for reporting units 3.00%        
Discount rates for reporting units 13.50%        
Trade Names And Trademarks [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Finite-Lived Intangible Assets, Net $ 52,724 16,069      
Licenses [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Finite-Lived Intangible Assets, Net 10,665 11,260      
Discovery & Analytical Solutions [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Finite-Lived Intangible Assets, Net 184,747 220,023      
Goodwill 1,344,235 1,303,936 1,296,724    
Discovery & Analytical Solutions [Member] | Trade Names And Trademarks [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Finite-Lived Intangible Assets, Net 9,928 12,636      
Discovery & Analytical Solutions [Member] | Licenses [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Finite-Lived Intangible Assets, Net 8,441 11,086      
Diagnostics [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Finite-Lived Intangible Assets, Net 1,091,609 129,617      
Goodwill 1,657,963 944,030 $ 940,139    
Diagnostics [Member] | Trade Names And Trademarks [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Finite-Lived Intangible Assets, Net 42,796 3,433      
Diagnostics [Member] | Licenses [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Finite-Lived Intangible Assets, Net 2,224 174      
Other Asset Acquisitions [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Finite-Lived Intangible Assets, Net       $ 7,000 $ 6,800
Prepaid Royalties 72,800     $ 40,300 $ 25,000
Prepaid Royalties, Other Current Asset 5,100        
Prepaid Royalties, Other Assets 67,700        
Payments of Additional Prepaid Royalties 5,100 9,400      
Other Asset Acquisitions extension [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Prepaid Royalties   $ 6,000      
Informatics [Member]          
Goodwill and Intangible Assets Net [Line Items]          
Goodwill $ 217,200