Revenue (Disaggregation of Revenue by Geographical Region) (Details) - USD ($) $ in Millions	3 Months Ended	6 Months Ended
	Jun. 29, 2018	Jun. 29, 2018
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	$ 4,981.0	$ 9,676.4
North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,953.5	3,750.9
Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,171.9	2,372.6
Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	309.2	621.8
High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,546.4	2,931.1
Life Sciences
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,605.2	3,081.2
Life Sciences | North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	578.0	1,058.4
Life Sciences | Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	449.5	899.4
Life Sciences | Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	138.5	283.4
Life Sciences | High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	439.2	840.0
Diagnostics
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,550.9	3,070.6
Diagnostics | North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	578.7	1,186.1
Diagnostics | Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	288.7	599.1
Diagnostics | Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	91.3	183.5
Diagnostics | High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	592.2	1,101.9
Dental
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	733.4	1,406.0
Dental | North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	346.1	637.4
Dental | Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	170.5	346.1
Dental | Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	47.1	91.0
Dental | High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	169.7	331.5
Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,091.5	2,118.6
Environmental & Applied Solutions | North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	450.7	869.0
Environmental & Applied Solutions | Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	263.2	528.0
Environmental & Applied Solutions | Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	32.3	63.9
Environmental & Applied Solutions | High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	$ 345.3	$ 657.7