Revenue (Disaggregation of Revenue by Geographical Region) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 27, 2019	Sep. 28, 2018	Sep. 27, 2019	Sep. 28, 2018
Disaggregation of Revenue [Line Items]
Sales	$ 5,037.3	$ 4,853.1	$ 15,073.8	$ 14,529.5
North America
Disaggregation of Revenue [Line Items]
Sales	2,033.3	1,937.5	6,083.8	5,688.4
Western Europe
Disaggregation of Revenue [Line Items]
Sales	1,082.3	1,104.1	3,410.0	3,476.7
Other developed markets
Disaggregation of Revenue [Line Items]
Sales	335.7	299.8	955.4	921.6
High-growth markets
Disaggregation of Revenue [Line Items]
Sales	1,586.0	1,511.7	4,624.6	4,442.8
Operating segments | Life Sciences
Disaggregation of Revenue [Line Items]
Sales	1,695.6	1,596.7	5,035.1	4,677.9
Operating segments | Life Sciences | North America
Disaggregation of Revenue [Line Items]
Sales	637.2	584.0	1,878.1	1,642.4
Operating segments | Life Sciences | Western Europe
Disaggregation of Revenue [Line Items]
Sales	444.1	447.1	1,363.7	1,346.5
Operating segments | Life Sciences | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	149.2	134.5	436.1	417.9
Operating segments | Life Sciences | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	465.1	431.1	1,357.2	1,271.1
Operating segments | Diagnostics
Disaggregation of Revenue [Line Items]
Sales	1,601.9	1,502.5	4,757.0	4,573.1
Operating segments | Diagnostics | North America
Disaggregation of Revenue [Line Items]
Sales	602.9	574.0	1,836.3	1,760.1
Operating segments | Diagnostics | Western Europe
Disaggregation of Revenue [Line Items]
Sales	257.9	262.3	828.5	861.4
Operating segments | Diagnostics | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	108.4	91.8	295.6	275.3
Operating segments | Diagnostics | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	632.7	574.4	1,796.6	1,676.3
Operating segments | Dental / Envista
Disaggregation of Revenue [Line Items]
Sales	659.3	679.5	2,031.1	2,085.5
Operating segments | Dental / Envista | North America
Disaggregation of Revenue [Line Items]
Sales	327.7	339.8	966.4	977.2
Operating segments | Dental / Envista | Western Europe
Disaggregation of Revenue [Line Items]
Sales	127.5	137.2	443.7	483.3
Operating segments | Dental / Envista | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	45.6	42.5	131.0	133.5
Operating segments | Dental / Envista | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	158.5	160.0	490.0	491.5
Operating segments | Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Sales	1,080.5	1,074.4	3,250.6	3,193.0
Operating segments | Environmental & Applied Solutions | North America
Disaggregation of Revenue [Line Items]
Sales	465.5	439.7	1,403.0	1,308.7
Operating segments | Environmental & Applied Solutions | Western Europe
Disaggregation of Revenue [Line Items]
Sales	252.8	257.5	774.1	785.5
Operating segments | Environmental & Applied Solutions | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	32.5	31.0	92.7	94.9
Operating segments | Environmental & Applied Solutions | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	$ 329.7	$ 346.2	$ 980.8	$ 1,003.9