Goodwill and Intangible Assets, Net (Identifiable Intangible Asset Balances) (Details) - USD ($) $ in Thousands	Dec. 31, 2017	Jan. 01, 2017
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	$ 1,276,356	$ 349,640
Totals	1,346,940	420,224
Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	39,959	39,901
Less: Accumulated amortization	(35,085)	(32,408)
Net amortizable intangible assets	4,874	7,493
Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	80,974	40,086
Less: Accumulated amortization	(28,250)	(24,017)
Net amortizable intangible assets	52,724	16,069
Non-amortizing intangible assets	70,584	70,584
Licenses [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	53,300	57,767
Less: Accumulated amortization	(42,635)	(46,507)
Net amortizable intangible assets	10,665	11,260
Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	471,740	304,187
Less: Accumulated amortization	(244,916)	(233,720)
Net amortizable intangible assets	226,824	70,467
Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	1,141,511	383,303
Less: Accumulated amortization	(242,840)	(213,062)
Net amortizable intangible assets	898,671	170,241
In Process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	88,025	78,515
Less: Accumulated amortization	(5,427)	(4,405)
Net amortizable intangible assets	82,598	74,110
Diagnostics [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	1,091,609	129,617
Totals	1,091,609	129,617
Diagnostics [Member] | Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	11,911	11,900
Less: Accumulated amortization	(10,637)	(9,556)
Net amortizable intangible assets	1,274	2,344
Diagnostics [Member] | Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	51,024	11,523
Less: Accumulated amortization	(8,228)	(8,090)
Net amortizable intangible assets	42,796	3,433
Non-amortizing intangible assets	0	0
Diagnostics [Member] | Licenses [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	10,239	7,936
Less: Accumulated amortization	(8,015)	(7,762)
Net amortizable intangible assets	2,224	174
Diagnostics [Member] | Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	240,985	70,896
Less: Accumulated amortization	(58,552)	(49,380)
Net amortizable intangible assets	182,433	21,516
Diagnostics [Member] | Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	907,938	123,884
Less: Accumulated amortization	(126,144)	(93,720)
Net amortizable intangible assets	781,794	30,164
Diagnostics [Member] | In Process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	82,456	72,946
Less: Accumulated amortization	(1,368)	(960)
Net amortizable intangible assets	81,088	71,986
Discovery & Analytical Solutions [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	184,747	220,023
Totals	255,331	290,607
Discovery & Analytical Solutions [Member] | Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	28,048	28,001
Less: Accumulated amortization	(24,448)	(22,852)
Net amortizable intangible assets	3,600	5,149
Discovery & Analytical Solutions [Member] | Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	29,950	28,563
Less: Accumulated amortization	(20,022)	(15,927)
Net amortizable intangible assets	9,928	12,636
Non-amortizing intangible assets	70,584	70,584
Discovery & Analytical Solutions [Member] | Licenses [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	43,061	49,831
Less: Accumulated amortization	(34,620)	(38,745)
Net amortizable intangible assets	8,441	11,086
Discovery & Analytical Solutions [Member] | Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	230,755	233,291
Less: Accumulated amortization	(186,364)	(184,340)
Net amortizable intangible assets	44,391	48,951
Discovery & Analytical Solutions [Member] | Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	233,573	259,419
Less: Accumulated amortization	(116,696)	(119,342)
Net amortizable intangible assets	116,877	140,077
Discovery & Analytical Solutions [Member] | In Process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	5,569	5,569
Less: Accumulated amortization	(4,059)	(3,445)
Net amortizable intangible assets	$ 1,510	$ 2,124