Goodwill and Intangible Assets, Net (Identifiable Intangible Asset Balances) (Details) - USD ($) $ in Thousands	Jan. 02, 2022	Jan. 03, 2021
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	$ 3,992,520	$ 1,295,109
Totals	4,063,104	1,365,693
Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	31,033	30,855
Less: Accumulated amortization	(28,693)	(28,440)
Net amortizable intangible assets	2,340	2,415
Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	170,983	98,661
Less: Accumulated amortization	(62,441)	(48,806)
Net amortizable intangible assets	108,542	49,855
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	67,887	58,700
Less: Accumulated amortization	(54,315)	(52,452)
Net amortizable intangible assets	13,572	6,248
Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	1,834,177	789,799
Less: Accumulated amortization	(494,310)	(398,992)
Net amortizable intangible assets	1,339,867	390,807
Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	3,195,704	1,357,660
Less: Accumulated amortization	(673,425)	(522,820)
Net amortizable intangible assets	2,522,279	834,840
In Process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	5,920	10,944
Diagnostics [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	893,211	803,238
Totals	893,211	803,238
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	(732)	(507)
Net amortizable intangible assets	1,977	2,202
Diagnostics [Member] | Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	79,683	47,518
Less: Accumulated amortization	(21,969)	(16,947)
Net amortizable intangible assets	57,714	30,571
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	8,410	8,232
Less: Accumulated amortization	(3,968)	(3,135)
Net amortizable intangible assets	4,442	5,097
Diagnostics [Member] | Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	519,864	333,192
Less: Accumulated amortization	(208,833)	(166,344)
Net amortizable intangible assets	311,031	166,848
Diagnostics [Member] | Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	884,105	881,912
Less: Accumulated amortization	(366,058)	(283,392)
Net amortizable intangible assets	518,047	598,520
Diagnostics [Member] | In Process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	0	0
Discovery & Analytical Solutions [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	3,099,309	491,871
Totals	3,169,893	562,455
Discovery & Analytical Solutions [Member] | Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	28,324	28,146
Less: Accumulated amortization	(27,961)	(27,933)
Net amortizable intangible assets	363	213
Discovery & Analytical Solutions [Member] | Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	91,300	51,143
Less: Accumulated amortization	(40,472)	(31,859)
Net amortizable intangible assets	50,828	19,284
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	59,477	50,468
Less: Accumulated amortization	(50,347)	(49,317)
Net amortizable intangible assets	9,130	1,151
Discovery & Analytical Solutions [Member] | Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	1,314,313	456,607
Less: Accumulated amortization	(285,477)	(232,648)
Net amortizable intangible assets	1,028,836	223,959
Discovery & Analytical Solutions [Member] | Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	2,311,599	475,748
Less: Accumulated amortization	(307,367)	(239,428)
Net amortizable intangible assets	2,004,232	236,320
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	$ 5,920	$ 10,944