Revenue (Disaggregation of Revenue by Revenue Type) (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jun. 28, 2019	Jun. 29, 2018	Jun. 28, 2019	Jun. 29, 2018
Disaggregation of Revenue [Line Items]
Sales	$ 5,156.6	$ 4,981.0	$ 10,036.5	$ 9,676.4
Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	3,607.4	3,488.9	7,069.7	6,812.8
Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,549.2	1,492.1	2,966.8	2,863.6
Operating segments | Life Sciences
Disaggregation of Revenue [Line Items]
Sales	1,712.6	1,605.2	3,339.5	3,081.2
Operating segments | Life Sciences | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,111.9	1,056.0	2,180.1	2,026.4
Operating segments | Life Sciences | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	600.7	549.2	1,159.4	1,054.8
Operating segments | Diagnostics
Disaggregation of Revenue [Line Items]
Sales	1,618.3	1,550.9	3,155.1	3,070.6
Operating segments | Diagnostics | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,380.6	1,311.0	2,704.7	2,619.5
Operating segments | Diagnostics | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	237.7	239.9	450.4	451.1
Operating segments | Dental
Disaggregation of Revenue [Line Items]
Sales	712.1	733.4	1,371.8	1,406.0
Operating segments | Dental | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	522.1	547.3	1,009.9	1,035.3
Operating segments | Dental | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	190.0	186.1	361.9	370.7
Operating segments | Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Sales	1,113.6	1,091.5	2,170.1	2,118.6
Operating segments | Environmental & Applied Solutions | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	592.8	574.6	1,175.0	1,131.6
Operating segments | Environmental & Applied Solutions | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	$ 520.8	$ 516.9	$ 995.1	$ 987.0