Revenue (Disaggregation of Revenue by Revenue Type) (Details) $ in Millions	3 Months Ended
	Mar. 30, 2018 USD ($)
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	$ 4,695.4
Life Sciences
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,476.0
Diagnostics
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,519.7
Dental
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	672.6
Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,027.1
Recurring
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	3,323.9
Recurring | Life Sciences
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	970.4
Recurring | Diagnostics
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,308.5
Recurring | Dental
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	488.0
Recurring | Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	557.0
Nonrecurring
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	1,371.5
Nonrecurring | Life Sciences
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	505.6
Nonrecurring | Diagnostics
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	211.2
Nonrecurring | Dental
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	184.6
Nonrecurring | Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Revenue from contract with customer, excluding assessed tax	$ 470.1