Revenue (Disaggregation of Revenue by Geographical Region) (Details) - USD ($) $ in Millions	3 Months Ended	9 Months Ended
	Sep. 28, 2018	Sep. 28, 2018
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	$ 4,853.1	$ 14,529.5
North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,937.5	5,688.4
Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,104.1	3,476.7
Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	299.8	921.6
High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,511.7	4,442.8
Life Sciences
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,596.7	4,677.9
Life Sciences | North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	584.0	1,642.4
Life Sciences | Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	447.1	1,346.5
Life Sciences | Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	134.5	417.9
Life Sciences | High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	431.1	1,271.1
Diagnostics
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,502.5	4,573.1
Diagnostics | North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	574.0	1,760.1
Diagnostics | Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	262.3	861.4
Diagnostics | Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	91.8	275.3
Diagnostics | High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	574.4	1,676.3
Dental
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	679.5	2,085.5
Dental | North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	339.8	977.2
Dental | Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	137.2	483.3
Dental | Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	42.5	133.5
Dental | High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	160.0	491.5
Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,074.4	3,193.0
Environmental & Applied Solutions | North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	439.7	1,308.7
Environmental & Applied Solutions | Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	257.5	785.5
Environmental & Applied Solutions | Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	31.0	94.9
Environmental & Applied Solutions | High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	$ 346.2	$ 1,003.9