Revenue (Disaggregation of Revenue by Geographical Region) (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jun. 28, 2019	Jun. 29, 2018	Jun. 28, 2019	Jun. 29, 2018
Disaggregation of Revenue [Line Items]
Sales	$ 5,156.6	$ 4,981.0	$ 10,036.5	$ 9,676.4
North America
Disaggregation of Revenue [Line Items]
Sales	2,083.1	1,953.5	4,050.5	3,750.9
Western Europe
Disaggregation of Revenue [Line Items]
Sales	1,158.7	1,171.9	2,327.7	2,372.6
Other developed markets
Disaggregation of Revenue [Line Items]
Sales	309.1	309.2	619.7	621.8
High-growth markets
Disaggregation of Revenue [Line Items]
Sales	1,605.7	1,546.4	3,038.6	2,931.1
Operating segments | Life Sciences
Disaggregation of Revenue [Line Items]
Sales	1,712.6	1,605.2	3,339.5	3,081.2
Operating segments | Life Sciences | North America
Disaggregation of Revenue [Line Items]
Sales	653.6	578.0	1,240.9	1,058.4
Operating segments | Life Sciences | Western Europe
Disaggregation of Revenue [Line Items]
Sales	459.3	449.5	919.6	899.4
Operating segments | Life Sciences | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	137.6	138.5	286.9	283.4
Operating segments | Life Sciences | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	462.1	439.2	892.1	840.0
Operating segments | Diagnostics
Disaggregation of Revenue [Line Items]
Sales	1,618.3	1,550.9	3,155.1	3,070.6
Operating segments | Diagnostics | North America
Disaggregation of Revenue [Line Items]
Sales	601.0	578.7	1,233.4	1,186.1
Operating segments | Diagnostics | Western Europe
Disaggregation of Revenue [Line Items]
Sales	281.7	288.7	570.6	599.1
Operating segments | Diagnostics | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	95.2	91.3	187.2	183.5
Operating segments | Diagnostics | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	640.4	592.2	1,163.9	1,101.9
Operating segments | Dental
Disaggregation of Revenue [Line Items]
Sales	712.1	733.4	1,371.8	1,406.0
Operating segments | Dental | North America
Disaggregation of Revenue [Line Items]
Sales	340.2	346.1	638.7	637.4
Operating segments | Dental | Western Europe
Disaggregation of Revenue [Line Items]
Sales	156.1	170.5	316.2	346.1
Operating segments | Dental | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	45.0	47.1	85.4	91.0
Operating segments | Dental | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	170.8	169.7	331.5	331.5
Operating segments | Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Sales	1,113.6	1,091.5	2,170.1	2,118.6
Operating segments | Environmental & Applied Solutions | North America
Disaggregation of Revenue [Line Items]
Sales	488.3	450.7	937.5	869.0
Operating segments | Environmental & Applied Solutions | Western Europe
Disaggregation of Revenue [Line Items]
Sales	261.6	263.2	521.3	528.0
Operating segments | Environmental & Applied Solutions | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	31.3	32.3	60.2	63.9
Operating segments | Environmental & Applied Solutions | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	$ 332.4	$ 345.3	$ 651.1	$ 657.7