Segment Information (Segment Results) (Details) - USD ($) $ in Millions	3 Months Ended
	Mar. 29, 2019	Mar. 30, 2018	Dec. 31, 2018
Segment Reporting Information [Line Items]
Sales	$ 4,879.9	$ 4,695.4
Operating profit	723.8	743.0
Identifiable assets	51,774.4		$ 47,832.5
Other
Segment Reporting Information [Line Items]
Operating profit	(111.1)	(54.4)
Identifiable assets	4,203.6		1,144.4
Life Sciences | Operating segments
Segment Reporting Information [Line Items]
Sales	1,626.9	1,476.0
Operating profit	309.0	271.3
Identifiable assets	22,485.9		22,122.4
Diagnostics | Operating segments
Segment Reporting Information [Line Items]
Sales	1,536.8	1,519.7
Operating profit	233.1	248.0
Identifiable assets	14,282.8		14,031.1
Dental | Operating segments
Segment Reporting Information [Line Items]
Sales	659.7	672.6
Operating profit	48.2	50.9
Identifiable assets	6,019.5		5,897.3
Environmental & Applied Solutions | Operating segments
Segment Reporting Information [Line Items]
Sales	1,056.5	1,027.1
Operating profit	244.6	$ 227.2
Identifiable assets	$ 4,782.6		$ 4,637.3