Revenue Revenue (Revenue Disaggregation by Geographical Region and Revenue Type) (Details) $ in Millions	12 Months Ended
	Dec. 31, 2018 USD ($)
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	$ 19,893.0
North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	7,820.1
Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	4,720.8
Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,254.7
High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	6,097.4
Recurring
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	13,723.6
Nonrecurring
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	6,169.4
Operating segments | Life Sciences
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	6,471.4
Operating segments | Life Sciences | North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	2,295.6
Operating segments | Life Sciences | Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,846.7
Operating segments | Life Sciences | Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	570.0
Operating segments | Life Sciences | High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,759.1
Operating segments | Life Sciences | Recurring
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	4,131.8
Operating segments | Life Sciences | Nonrecurring
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	2,339.6
Operating segments | Diagnostics
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	6,257.6
Operating segments | Diagnostics | North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	2,403.4
Operating segments | Diagnostics | Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,155.4
Operating segments | Diagnostics | Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	379.1
Operating segments | Diagnostics | High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	2,319.7
Operating segments | Diagnostics | Recurring
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	5,272.0
Operating segments | Diagnostics | Nonrecurring
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	985.6
Operating segments | Dental
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	2,844.5
Operating segments | Dental | North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,350.4
Operating segments | Dental | Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	659.6
Operating segments | Dental | Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	179.9
Operating segments | Dental | High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	654.6
Operating segments | Dental | Recurring
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	2,039.8
Operating segments | Dental | Nonrecurring
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	804.7
Operating segments | Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	4,319.5
Operating segments | Environmental & Applied Solutions | North America
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,770.7
Operating segments | Environmental & Applied Solutions | Western Europe
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,059.1
Operating segments | Environmental & Applied Solutions | Other developed markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	125.7
Operating segments | Environmental & Applied Solutions | High-growth markets
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,364.0
Operating segments | Environmental & Applied Solutions | Recurring
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	2,280.0
Operating segments | Environmental & Applied Solutions | Nonrecurring
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	$ 2,039.5