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Segment Information (Segment Results) (Details)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 29, 2017
USD ($)
Sep. 30, 2016
USD ($)
Sep. 29, 2017
USD ($)
Business_Segments
Sep. 30, 2016
USD ($)
Segment Reporting Information [Line Items]        
Number of segments reported | Business_Segments     4  
Sales $ 4,528.2 $ 4,132.1 $ 13,244.0 $ 12,298.1
Operating profit 767.5 699.1 2,075.1 2,022.3
Operating segments | Life Sciences        
Segment Reporting Information [Line Items]        
Sales 1,392.6 1,325.4 4,085.0 3,911.8
Operating profit 246.8 204.7 680.0 574.1
Operating segments | Diagnostics        
Segment Reporting Information [Line Items]        
Sales 1,448.7 1,212.7 4,216.0 3,606.5
Operating profit 242.7 193.9 554.9 606.3
Operating segments | Dental        
Segment Reporting Information [Line Items]        
Sales 694.0 675.6 2,052.1 2,046.1
Operating profit 102.2 101.3 301.4 305.6
Operating segments | Environmental & Applied Solutions        
Segment Reporting Information [Line Items]        
Sales 992.9 918.4 2,890.9 2,733.7
Operating profit 222.8 223.4 666.0 640.1
Other        
Segment Reporting Information [Line Items]        
Operating profit $ (47.0) $ (24.2) $ (127.2) $ (103.8)