Goodwill and Intangible Assets, Net (Identifiable Intangible Asset Balances) (Details) - USD ($) $ in Thousands	Jan. 03, 2021	Dec. 29, 2019
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	$ 1,295,109	$ 1,212,702
Totals	1,365,693	1,283,286
Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	30,855	30,831
Less: Accumulated amortization	(28,440)	(27,423)
Net amortizable intangible assets	2,415	3,408
Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	98,661	87,997
Less: Accumulated amortization	(48,806)	(40,295)
Net amortizable intangible assets	49,855	47,702
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	58,700	58,496
Less: Accumulated amortization	(52,452)	(49,733)
Net amortizable intangible assets	6,248	8,763
Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	789,799	689,089
Less: Accumulated amortization	(398,992)	(320,926)
Net amortizable intangible assets	390,807	368,163
Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	1,357,660	1,161,526
Less: Accumulated amortization	(522,820)	(378,188)
Net amortizable intangible assets	834,840	783,338
In Process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	10,944	1,328
Diagnostics [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	803,238	850,925
Totals	803,238	850,925
Diagnostics [Member] | Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	2,709	2,709
Less: Accumulated amortization	(507)	(281)
Net amortizable intangible assets	2,202	2,428
Diagnostics [Member] | Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	47,518	48,138
Less: Accumulated amortization	(16,947)	(16,663)
Net amortizable intangible assets	30,571	31,475
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	8,232	8,103
Less: Accumulated amortization	(3,135)	(2,126)
Net amortizable intangible assets	5,097	5,977
Diagnostics [Member] | Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	333,192	298,973
Less: Accumulated amortization	(166,344)	(115,663)
Net amortizable intangible assets	166,848	183,310
Diagnostics [Member] | Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	881,912	847,628
Less: Accumulated amortization	(283,392)	(221,221)
Net amortizable intangible assets	598,520	626,407
Diagnostics [Member] | In Process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	0	1,328
Discovery & Analytical Solutions [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	491,871	361,777
Totals	562,455	432,361
Discovery & Analytical Solutions [Member] | Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	28,146	28,122
Less: Accumulated amortization	(27,933)	(27,142)
Net amortizable intangible assets	213	980
Discovery & Analytical Solutions [Member] | Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	51,143	39,859
Less: Accumulated amortization	(31,859)	(23,632)
Net amortizable intangible assets	19,284	16,227
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	50,468	50,393
Less: Accumulated amortization	(49,317)	(47,607)
Net amortizable intangible assets	1,151	2,786
Discovery & Analytical Solutions [Member] | Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	456,607	390,116
Less: Accumulated amortization	(232,648)	(205,263)
Net amortizable intangible assets	223,959	184,853
Discovery & Analytical Solutions [Member] | Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	475,748	313,898
Less: Accumulated amortization	(239,428)	(156,967)
Net amortizable intangible assets	236,320	156,931
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	$ 10,944	$ 0