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Segment Information (Segment Results) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2018	Sep. 28, 2018	Jun. 29, 2018	Mar. 30, 2018	Dec. 31, 2017	Sep. 29, 2017	Jun. 30, 2017	Mar. 31, 2017	Dec. 31, 2018	Dec. 31, 2017	Dec. 31, 2016
Segment Reporting Information [Line Items]
Sales	$ 5,363.5	$ 4,853.1	$ 4,981.0	$ 4,695.4	$ 5,085.7	$ 4,528.2	$ 4,510.1	$ 4,205.7	$ 19,893.0	$ 18,329.7	$ 16,882.4
Operating profit	962.6	$ 830.7	$ 867.5	$ 743.0	937.5	$ 759.2	$ 676.7	$ 617.0	3,403.8	2,990.4	2,735.2
Identifiable assets	47,832.5				46,648.6				47,832.5	46,648.6	45,295.3
Depreciation and amortization									1,307.7	1,238.3	1,128.1
Capital expenditures, gross									655.7	619.6	589.6
Operating segments \| Life Sciences
Segment Reporting Information [Line Items]
Sales									6,471.4	5,710.1	5,365.9
Operating profit									1,229.3	1,004.3	818.9
Identifiable assets	22,122.4				20,576.8				22,122.4	20,576.8	19,875.9
Depreciation and amortization									471.2	427.9	426.2
Capital expenditures, gross									140.1	130.6	109.7
Operating segments \| Diagnostics
Segment Reporting Information [Line Items]
Sales									6,257.6	5,839.9	5,038.3
Operating profit									1,073.8	871.6	786.4
Identifiable assets	14,031.1				14,359.2				14,031.1	14,359.2	14,159.6
Depreciation and amortization									589.0	581.5	481.5
Capital expenditures, gross									380.0	372.6	374.3
Operating segments \| Dental
Segment Reporting Information [Line Items]
Sales									2,844.5	2,810.9	2,785.4
Operating profit									346.7	400.7	419.4
Identifiable assets	5,897.3				6,026.8				5,897.3	6,026.8	5,772.2
Depreciation and amortization									130.0	121.4	127.2
Capital expenditures, gross									72.2	48.9	49.1
Operating segments \| Environmental & Applied Solutions
Segment Reporting Information [Line Items]
Sales									4,319.5	3,968.8	3,692.8
Operating profit									988.0	914.6	870.0
Identifiable assets	4,637.3				4,649.2				4,637.3	4,649.2	4,172.9
Depreciation and amortization									109.0	99.9	86.7
Capital expenditures, gross									57.1	60.9	51.0
Other
Segment Reporting Information [Line Items]
Operating profit									(234.0)	(200.8)	(159.5)
Identifiable assets	$ 1,144.4				$ 1,036.6				1,144.4	1,036.6	1,314.7
Depreciation and amortization									8.5	7.6	6.5
Capital expenditures, gross									$ 6.3	$ 6.6	$ 5.5