Segment Information (Segment Results) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2016	Sep. 30, 2016	Jul. 01, 2016	Apr. 01, 2016	Dec. 31, 2015	Oct. 02, 2015	Jul. 03, 2015	Apr. 03, 2015	Dec. 31, 2016	Dec. 31, 2015	Dec. 31, 2014
Segment Reporting Information [Line Items]
Sales	$ 4,584.3	$ 4,132.1	$ 4,241.9	$ 3,924.1	$ 4,323.0	$ 3,512.2	$ 3,406.3	$ 3,192.2	$ 16,882.4	$ 14,433.7	$ 12,866.9
Operating profit	728.6	$ 699.1	$ 710.1	$ 613.1	651.6	$ 480.0	$ 582.9	$ 447.7	2,750.9	2,162.2	2,045.0
Identifiable assets	45,295.3				48,222.2				45,295.3	48,222.2	36,991.7
Depreciation and amortization									1,128.1	880.8	718.1
Capital expenditures, gross									589.6	512.9	465.4
Discontinued operations
Segment Reporting Information [Line Items]
Identifiable assets	0.0				7,275.5				0.0	7,275.5	9,205.6
Operating segments | Life Sciences | Continuing operations
Segment Reporting Information [Line Items]
Sales									5,365.9	3,314.6	2,511.5
Operating profit									818.9	329.2	368.5
Identifiable assets	19,875.9				19,658.4				19,875.9	19,658.4	3,962.3
Depreciation and amortization									426.2	210.1	101.1
Capital expenditures, gross									109.7	62.3	39.6
Operating segments | Diagnostics | Continuing operations
Segment Reporting Information [Line Items]
Sales									5,038.3	4,832.5	4,618.8
Operating profit									786.4	746.2	725.0
Identifiable assets	14,159.6				9,848.2				14,159.6	9,848.2	9,836.5
Depreciation and amortization									481.5	449.7	437.8
Capital expenditures, gross									374.3	336.8	351.2
Operating segments | Dental | Continuing operations
Segment Reporting Information [Line Items]
Sales									2,785.4	2,736.8	2,193.1
Operating profit									419.4	370.4	304.4
Identifiable assets	5,772.2				5,906.9				5,772.2	5,906.9	6,224.3
Depreciation and amortization									127.2	132.0	85.0
Capital expenditures, gross									49.1	53.3	24.4
Operating segments | Environmental & Applied Solutions | Continuing operations
Segment Reporting Information [Line Items]
Sales									3,692.8	3,549.8	3,543.5
Operating profit									870.0	866.6	781.8
Identifiable assets	4,172.9				4,223.5				4,172.9	4,223.5	4,147.8
Depreciation and amortization									86.7	82.2	88.6
Capital expenditures, gross									51.0	58.4	49.9
Other | Continuing operations
Segment Reporting Information [Line Items]
Operating profit									(143.8)	(150.2)	(134.7)
Identifiable assets	$ 1,314.7				$ 1,309.7				1,314.7	1,309.7	3,615.2
Depreciation and amortization									6.5	6.8	5.6
Capital expenditures, gross									$ 5.5	$ 2.1	$ 0.3