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Segment Information (Segment Results) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 27, 2019
Sep. 28, 2018
Sep. 27, 2019
Sep. 28, 2018
Dec. 31, 2018
Segment Reporting Information [Line Items]          
Sales $ 5,037.3 $ 4,853.1 $ 15,073.8 $ 14,529.5  
Operating profit 834.8 830.7 2,442.4 2,441.2  
Identifiable assets 61,531.1   61,531.1   $ 47,832.5
Other          
Segment Reporting Information [Line Items]          
Operating profit (108.9) (57.6) (302.8) (166.1)  
Identifiable assets 14,490.2   14,490.2   1,144.4
Life Sciences | Operating segments          
Segment Reporting Information [Line Items]          
Sales 1,695.6 1,596.7 5,035.1 4,677.9  
Operating profit 342.5 312.8 995.5 875.6  
Identifiable assets 22,115.0   22,115.0   22,122.4
Diagnostics | Operating segments          
Segment Reporting Information [Line Items]          
Sales 1,601.9 1,502.5 4,757.0 4,573.1  
Operating profit 266.0 235.1 782.0 757.4  
Identifiable assets 14,175.1   14,175.1   14,031.1
Dental / Envista | Operating segments          
Segment Reporting Information [Line Items]          
Sales 659.3 679.5 2,031.1 2,085.5  
Operating profit 78.7 86.1 206.4 241.8  
Identifiable assets 6,009.5   6,009.5   5,897.3
Environmental & Applied Solutions | Operating segments          
Segment Reporting Information [Line Items]          
Sales 1,080.5 1,074.4 3,250.6 3,193.0  
Operating profit 256.5 $ 254.3 761.3 $ 732.5  
Identifiable assets $ 4,741.3   $ 4,741.3   $ 4,637.3