Revenue (Disaggregation of Revenue by Geographical Region) (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 03, 2020	Jun. 28, 2019	Jul. 03, 2020	Jun. 28, 2019
Disaggregation of Revenue [Line Items]
Sales	$ 5,297.4	$ 4,444.5	$ 9,640.5	$ 8,664.7
Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	3,815.4	3,085.3	7,022.3	6,059.8
Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,482.0	1,359.2	2,618.2	2,604.9
North America
Disaggregation of Revenue [Line Items]
Sales	2,143.0	1,742.9	4,015.3	3,411.8
Western Europe
Disaggregation of Revenue [Line Items]
Sales	1,246.2	1,002.6	2,283.6	2,011.5
Other developed markets
Disaggregation of Revenue [Line Items]
Sales	302.7	264.1	584.5	534.3
High-growth markets
Disaggregation of Revenue [Line Items]
Sales	1,605.5	1,434.9	2,757.1	2,707.1
Operating segments | Life Sciences
Disaggregation of Revenue [Line Items]
Sales	2,642.4	1,712.6	4,292.8	3,339.5
Operating segments | Life Sciences | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,900.1	1,111.9	3,059.5	2,180.1
Operating segments | Life Sciences | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	742.3	600.7	1,233.3	1,159.4
Operating segments | Life Sciences | North America
Disaggregation of Revenue [Line Items]
Sales	999.8	653.6	1,620.5	1,240.9
Operating segments | Life Sciences | Western Europe
Disaggregation of Revenue [Line Items]
Sales	711.6	459.3	1,183.2	919.6
Operating segments | Life Sciences | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	178.2	137.6	331.0	286.9
Operating segments | Life Sciences | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	752.8	462.1	1,158.1	892.1
Operating segments | Diagnostics
Disaggregation of Revenue [Line Items]
Sales	1,660.2	1,618.3	3,287.2	3,155.1
Operating segments | Diagnostics | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	1,335.5	1,380.6	2,763.4	2,704.7
Operating segments | Diagnostics | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	324.7	237.7	523.8	450.4
Operating segments | Diagnostics | North America
Disaggregation of Revenue [Line Items]
Sales	691.0	601.0	1,445.7	1,233.4
Operating segments | Diagnostics | Western Europe
Disaggregation of Revenue [Line Items]
Sales	315.3	281.7	625.1	570.6
Operating segments | Diagnostics | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	95.6	95.2	194.3	187.2
Operating segments | Diagnostics | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	558.3	640.4	1,022.1	1,163.9
Operating segments | Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Sales	994.8	1,113.6	2,060.5	2,170.1
Operating segments | Environmental & Applied Solutions | Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	579.8	592.8	1,199.4	1,175.0
Operating segments | Environmental & Applied Solutions | Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	415.0	520.8	861.1	995.1
Operating segments | Environmental & Applied Solutions | North America
Disaggregation of Revenue [Line Items]
Sales	452.2	488.3	949.1	937.5
Operating segments | Environmental & Applied Solutions | Western Europe
Disaggregation of Revenue [Line Items]
Sales	219.3	261.6	475.3	521.3
Operating segments | Environmental & Applied Solutions | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	28.9	31.3	59.2	60.2
Operating segments | Environmental & Applied Solutions | High-growth markets
Disaggregation of Revenue [Line Items]
Sales	$ 294.4	$ 332.4	$ 576.9	$ 651.1