Goodwill and Intangible Assets, Net (Identifiable Intangible Asset Balances) (Details) - USD ($) $ in Thousands	Dec. 29, 2019	Dec. 30, 2018
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	$ 1,212,702	$ 1,129,083
Totals	1,283,286	1,199,667
Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	30,831	42,646
Less: Accumulated amortization	(27,423)	(37,753)
Net amortizable intangible assets	3,408	4,893
Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	87,997	78,146
Less: Accumulated amortization	(40,295)	(33,801)
Net amortizable intangible assets	47,702	44,345
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	58,496	53,305
Less: Accumulated amortization	(49,733)	(45,550)
Net amortizable intangible assets	8,763	7,755
Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	689,089	540,911
Less: Accumulated amortization	(320,926)	(265,744)
Net amortizable intangible assets	368,163	275,167
Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	1,161,526	1,089,527
Less: Accumulated amortization	(378,188)	(293,964)
Net amortizable intangible assets	783,338	795,563
In Process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	1,328	1,360
Diagnostics [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	850,925	966,695
Totals	850,925	966,695
Diagnostics [Member] | Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	2,709	14,616
Less: Accumulated amortization	(281)	(11,775)
Net amortizable intangible assets	2,428	2,841
Diagnostics [Member] | Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	48,138	48,335
Less: Accumulated amortization	(16,663)	(12,073)
Net amortizable intangible assets	31,475	36,262
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	8,103	3,127
Less: Accumulated amortization	(2,126)	(1,174)
Net amortizable intangible assets	5,977	1,953
Diagnostics [Member] | Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	298,973	300,177
Less: Accumulated amortization	(115,663)	(76,711)
Net amortizable intangible assets	183,310	223,466
Diagnostics [Member] | Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	847,628	866,635
Less: Accumulated amortization	(221,221)	(165,822)
Net amortizable intangible assets	626,407	700,813
Diagnostics [Member] | In Process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	1,328	1,360
Discovery & Analytical Solutions [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	361,777	162,388
Totals	432,361	232,972
Discovery & Analytical Solutions [Member] | Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	28,122	28,030
Less: Accumulated amortization	(27,142)	(25,978)
Net amortizable intangible assets	980	2,052
Discovery & Analytical Solutions [Member] | Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	39,859	29,811
Less: Accumulated amortization	(23,632)	(21,728)
Net amortizable intangible assets	16,227	8,083
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	50,393	50,178
Less: Accumulated amortization	(47,607)	(44,376)
Net amortizable intangible assets	2,786	5,802
Discovery & Analytical Solutions [Member] | Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	390,116	240,734
Less: Accumulated amortization	(205,263)	(189,033)
Net amortizable intangible assets	184,853	51,701
Discovery & Analytical Solutions [Member] | Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	313,898	222,892
Less: Accumulated amortization	(156,967)	(128,142)
Net amortizable intangible assets	156,931	94,750
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	$ 0	$ 0