Revenue (Disaggregation of Revenue by Geographical Region) (Details) - USD ($) $ in Millions	3 Months Ended
	Apr. 03, 2020	Mar. 29, 2019
Disaggregation of Revenue [Line Items]
Sales	$ 4,343.1	$ 4,220.2
Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	3,206.9	2,974.5
Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,136.2	1,245.7
North America
Disaggregation of Revenue [Line Items]
Sales	1,872.3	1,668.9
Western Europe
Disaggregation of Revenue [Line Items]
Sales	1,037.4	1,008.9
Other developed markets
Disaggregation of Revenue [Line Items]
Sales	281.8	270.2
High-growth markets
Disaggregation of Revenue [Line Items]
Sales	1,151.6	1,272.2
Operating segments | Life Sciences
Disaggregation of Revenue [Line Items]
Sales	1,650.4	1,626.9
Operating segments | Life Sciences | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,159.4	1,068.2
Operating segments | Life Sciences | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	491.0	558.7
Operating segments | Life Sciences | North America
Disaggregation of Revenue [Line Items]
Sales	620.7	587.3
Operating segments | Life Sciences | Western Europe
Disaggregation of Revenue [Line Items]
Sales	471.6	460.3
Operating segments | Life Sciences | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	152.8	149.3
Operating segments | Life Sciences | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	405.3	430.0
Operating segments | Diagnostics
Disaggregation of Revenue [Line Items]
Sales	1,627.0	1,536.8
Operating segments | Diagnostics | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,427.9	1,324.1
Operating segments | Diagnostics | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	199.1	212.7
Operating segments | Diagnostics | North America
Disaggregation of Revenue [Line Items]
Sales	754.7	632.4
Operating segments | Diagnostics | Western Europe
Disaggregation of Revenue [Line Items]
Sales	309.8	288.9
Operating segments | Diagnostics | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	98.7	92.0
Operating segments | Diagnostics | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	463.8	523.5
Operating segments | Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Sales	1,065.7	1,056.5
Operating segments | Environmental & Applied Solutions | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	619.6	582.2
Operating segments | Environmental & Applied Solutions | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	446.1	474.3
Operating segments | Environmental & Applied Solutions | North America
Disaggregation of Revenue [Line Items]
Sales	496.9	449.2
Operating segments | Environmental & Applied Solutions | Western Europe
Disaggregation of Revenue [Line Items]
Sales	256.0	259.7
Operating segments | Environmental & Applied Solutions | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	30.3	28.9
Operating segments | Environmental & Applied Solutions | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	$ 282.5	$ 318.7