Revenue (Revenue Disaggregation by Geographical Region and Revenue Type) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2019	Sep. 27, 2019	Jun. 28, 2019	Mar. 29, 2019	Dec. 31, 2018	Sep. 28, 2018	Jun. 29, 2018	Mar. 30, 2018	Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2017
Disaggregation of Revenue [Line Items]
Sales	$ 4,868.4	$ 4,378.0	$ 4,444.5	$ 4,220.2	$ 4,604.5	$ 4,173.6	$ 4,247.6	$ 4,022.8	$ 17,911.1	$ 17,048.5	$ 15,518.8
North America
Disaggregation of Revenue [Line Items]
Sales									7,012.4	6,469.7
Western Europe
Disaggregation of Revenue [Line Items]
Sales									4,056.5	4,061.2
Other developed markets
Disaggregation of Revenue [Line Items]
Sales									1,112.3	1,074.8
High-growth markets
Disaggregation of Revenue [Line Items]
Sales									5,729.9	5,442.8
Recurring
Disaggregation of Revenue [Line Items]
Sales									12,307.5	11,683.8
Nonrecurring
Disaggregation of Revenue [Line Items]
Sales									5,603.6	5,364.7
Operating segments | Life Sciences
Disaggregation of Revenue [Line Items]
Sales									6,951.1	6,471.4	5,710.1
Operating segments | Life Sciences | North America
Disaggregation of Revenue [Line Items]
Sales									2,595.5	2,295.6
Operating segments | Life Sciences | Western Europe
Disaggregation of Revenue [Line Items]
Sales									1,875.5	1,846.7
Operating segments | Life Sciences | Other developed markets
Disaggregation of Revenue [Line Items]
Sales									585.7	570.0
Operating segments | Life Sciences | High-growth markets
Disaggregation of Revenue [Line Items]
Sales									1,894.4	1,759.1
Operating segments | Life Sciences | Recurring
Disaggregation of Revenue [Line Items]
Sales									4,411.2	4,131.8
Operating segments | Life Sciences | Nonrecurring
Disaggregation of Revenue [Line Items]
Sales									2,539.9	2,339.6
Operating segments | Diagnostics
Disaggregation of Revenue [Line Items]
Sales									6,561.5	6,257.6	5,839.9
Operating segments | Diagnostics | North America
Disaggregation of Revenue [Line Items]
Sales									2,531.6	2,403.4
Operating segments | Diagnostics | Western Europe
Disaggregation of Revenue [Line Items]
Sales									1,132.5	1,155.4
Operating segments | Diagnostics | Other developed markets
Disaggregation of Revenue [Line Items]
Sales									401.7	379.1
Operating segments | Diagnostics | High-growth markets
Disaggregation of Revenue [Line Items]
Sales									2,495.7	2,319.7
Operating segments | Diagnostics | Recurring
Disaggregation of Revenue [Line Items]
Sales									5,524.5	5,272.0
Operating segments | Diagnostics | Nonrecurring
Disaggregation of Revenue [Line Items]
Sales									1,037.0	985.6
Operating segments | Environmental & Applied Solutions
Disaggregation of Revenue [Line Items]
Sales									4,398.5	4,319.5	$ 3,968.8
Operating segments | Environmental & Applied Solutions | North America
Disaggregation of Revenue [Line Items]
Sales									1,885.3	1,770.7
Operating segments | Environmental & Applied Solutions | Western Europe
Disaggregation of Revenue [Line Items]
Sales									1,048.5	1,059.1
Operating segments | Environmental & Applied Solutions | Other developed markets
Disaggregation of Revenue [Line Items]
Sales									124.9	125.7
Operating segments | Environmental & Applied Solutions | High-growth markets
Disaggregation of Revenue [Line Items]
Sales									1,339.8	1,364.0
Operating segments | Environmental & Applied Solutions | Recurring
Disaggregation of Revenue [Line Items]
Sales									2,371.8	2,280.0
Operating segments | Environmental & Applied Solutions | Nonrecurring
Disaggregation of Revenue [Line Items]
Sales									$ 2,026.7	$ 2,039.5