Revenue (Disaggregation of Revenue by Geographical Region) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Oct. 02, 2020	Sep. 27, 2019	Oct. 02, 2020	Sep. 27, 2019
Disaggregation of Revenue [Line Items]
Sales	$ 5,883.2	$ 4,378.0	$ 15,523.7	$ 13,042.7
Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	4,227.0	3,022.7	11,249.3	9,082.5
Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,656.2	1,355.3	4,274.4	3,960.2
North America
Disaggregation of Revenue [Line Items]
Sales	2,379.4	1,705.6	6,394.7	5,117.4
Western Europe
Disaggregation of Revenue [Line Items]
Sales	1,374.0	954.8	3,657.6	2,966.3
Other developed markets
Disaggregation of Revenue [Line Items]
Sales	326.2	290.1	910.7	824.4
High-growth markets
Disaggregation of Revenue [Line Items]
Sales	1,803.6	1,427.5	4,560.7	4,134.6
Operating segments | Life Sciences
Disaggregation of Revenue [Line Items]
Sales	2,922.5	1,695.6	7,215.3	5,035.1
Operating segments | Life Sciences | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	2,075.5	1,084.3	5,135.0	3,264.4
Operating segments | Life Sciences | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	847.0	611.3	2,080.3	1,770.7
Operating segments | Life Sciences | North America
Disaggregation of Revenue [Line Items]
Sales	1,100.6	637.2	2,721.1	1,878.1
Operating segments | Life Sciences | Western Europe
Disaggregation of Revenue [Line Items]
Sales	779.7	444.1	1,962.9	1,363.7
Operating segments | Life Sciences | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	193.4	149.2	524.4	436.1
Operating segments | Life Sciences | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	848.8	465.1	2,006.9	1,357.2
Operating segments | Diagnostics
Disaggregation of Revenue [Line Items]
Sales	1,889.1	1,601.9	5,176.3	4,757.0
Operating segments | Diagnostics | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,541.6	1,343.2	4,305.0	4,047.9
Operating segments | Diagnostics | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	347.5	258.7	871.3	709.1
Operating segments | Diagnostics | North America
Disaggregation of Revenue [Line Items]
Sales	797.8	602.9	2,243.5	1,836.3
Operating segments | Diagnostics | Western Europe
Disaggregation of Revenue [Line Items]
Sales	349.2	257.9	974.3	828.5
Operating segments | Diagnostics | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	103.6	108.4	297.9	295.6
Operating segments | Diagnostics | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	638.5	632.7	1,660.6	1,796.6
Operating segments | Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Sales	1,071.6	1,080.5	3,132.1	3,250.6
Operating segments | Environmental & Applied Solutions | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	609.9	595.2	1,809.3	1,770.2
Operating segments | Environmental & Applied Solutions | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	461.7	485.3	1,322.8	1,480.4
Operating segments | Environmental & Applied Solutions | North America
Disaggregation of Revenue [Line Items]
Sales	481.0	465.5	1,430.1	1,403.0
Operating segments | Environmental & Applied Solutions | Western Europe
Disaggregation of Revenue [Line Items]
Sales	245.1	252.8	720.4	774.1
Operating segments | Environmental & Applied Solutions | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	29.2	32.5	88.4	92.7
Operating segments | Environmental & Applied Solutions | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	$ 316.3	$ 329.7	$ 893.2	$ 980.8