Revenue (Disaggregation of Revenue by Revenue Type) (Details) - USD ($) $ in Millions	3 Months Ended
	Mar. 29, 2019	Mar. 30, 2018
Disaggregation of Revenue [Line Items]
Sales	$ 4,879.9	$ 4,695.4
Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	3,462.3	3,323.9
Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,417.6	1,371.5
Operating segments | Life Sciences
Disaggregation of Revenue [Line Items]
Sales	1,626.9	1,476.0
Operating segments | Life Sciences | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,068.2	970.4
Operating segments | Life Sciences | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	558.7	505.6
Operating segments | Diagnostics
Disaggregation of Revenue [Line Items]
Sales	1,536.8	1,519.7
Operating segments | Diagnostics | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,324.1	1,308.5
Operating segments | Diagnostics | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	212.7	211.2
Operating segments | Dental
Disaggregation of Revenue [Line Items]
Sales	659.7	672.6
Operating segments | Dental | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	487.8	488.0
Operating segments | Dental | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	171.9	184.6
Operating segments | Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Sales	1,056.5	1,027.1
Operating segments | Environmental & Applied Solutions | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	582.2	557.0
Operating segments | Environmental & Applied Solutions | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	$ 474.3	$ 470.1