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Segment Information (Segment Results) (Details)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 28, 2018
USD ($)
Sep. 29, 2017
USD ($)
Sep. 28, 2018
USD ($)
Business_Segments
Sep. 29, 2017
USD ($)
Segment Reporting Information [Line Items]        
Number of segments reported | Business_Segments     4  
Sales $ 4,853.1 $ 4,528.2 $ 14,529.5 $ 13,244.0
Operating profit 830.7 759.2 2,441.2 2,052.9
Other        
Segment Reporting Information [Line Items]        
Operating profit (57.6) (55.3) (166.1) (149.4)
Life Sciences | Operating segments        
Segment Reporting Information [Line Items]        
Sales 1,596.7 1,392.6 4,677.9 4,085.0
Operating profit 312.8 246.8 875.6 680.0
Diagnostics | Operating segments        
Segment Reporting Information [Line Items]        
Sales 1,502.5 1,448.7 4,573.1 4,216.0
Operating profit 235.1 242.7 757.4 554.9
Dental | Operating segments        
Segment Reporting Information [Line Items]        
Sales 679.5 694.0 2,085.5 2,052.1
Operating profit 86.1 102.2 241.8 301.4
Environmental & Applied Solutions | Operating segments        
Segment Reporting Information [Line Items]        
Sales 1,074.4 992.9 3,193.0 2,890.9
Operating profit $ 254.3 $ 222.8 $ 732.5 $ 666.0