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Segment Information (Segment Results) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2019	Sep. 27, 2019	Jun. 28, 2019	Mar. 29, 2019	Dec. 31, 2018	Sep. 28, 2018	Jun. 29, 2018	Mar. 30, 2018	Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2017
Segment Reporting Information [Line Items]
Sales	$ 4,868.4	$ 4,378.0	$ 4,444.5	$ 4,220.2	$ 4,604.5	$ 4,173.6	$ 4,247.6	$ 4,022.8	$ 17,911.1	$ 17,048.5	$ 15,518.8
Operating profit	961.7	$ 776.3	$ 811.7	$ 719.7	863.4	$ 745.3	$ 758.9	$ 687.5	3,269.4	3,055.1	2,572.3
Identifiable assets	62,081.6				47,832.5				62,081.6	47,832.5	46,648.6
Depreciation and amortization									1,189.5	1,177.7	1,116.9
Capital expenditures, gross									635.5	583.5	570.7
Discontinued operations
Segment Reporting Information [Line Items]
Identifiable assets	0.0				5,841.6				0.0	5,841.6	5,993.8
Operating segments \| Life Sciences
Segment Reporting Information [Line Items]
Sales									6,951.1	6,471.4	5,710.1
Operating profit									1,401.4	1,229.3	1,004.3
Depreciation and amortization									487.1	471.2	427.9
Capital expenditures, gross									142.4	140.1	130.6
Operating segments \| Life Sciences \| Continuing operations
Segment Reporting Information [Line Items]
Identifiable assets	22,381.3				22,122.4				22,381.3	22,122.4	20,576.8
Operating segments \| Diagnostics
Segment Reporting Information [Line Items]
Sales									6,561.5	6,257.6	5,839.9
Operating profit									1,134.1	1,073.8	871.6
Depreciation and amortization									582.5	589.0	581.5
Capital expenditures, gross									434.4	380.0	372.6
Operating segments \| Diagnostics \| Continuing operations
Segment Reporting Information [Line Items]
Identifiable assets	14,442.2				14,031.1				14,442.2	14,031.1	14,359.2
Operating segments \| Environmental & Applied Solutions
Segment Reporting Information [Line Items]
Sales									4,398.5	4,319.5	3,968.8
Operating profit									1,051.6	988.0	914.6
Depreciation and amortization									110.6	109.0	99.9
Capital expenditures, gross									54.4	57.1	60.9
Operating segments \| Environmental & Applied Solutions \| Continuing operations
Segment Reporting Information [Line Items]
Identifiable assets	4,881.8				4,637.3				4,881.8	4,637.3	4,649.2
Other
Segment Reporting Information [Line Items]
Operating profit									(317.7)	(236.0)	(218.2)
Depreciation and amortization									9.3	8.5	7.6
Capital expenditures, gross									4.3	6.3	6.6
Other \| Continuing operations
Segment Reporting Information [Line Items]
Identifiable assets	$ 20,376.3				$ 1,200.1				$ 20,376.3	$ 1,200.1	$ 1,069.6