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Segment Information (Segment Results) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 28, 2019
Jun. 29, 2018
Jun. 28, 2019
Jun. 29, 2018
Dec. 31, 2018
Segment Reporting Information [Line Items]          
Sales $ 5,156.6 $ 4,981.0 $ 10,036.5 $ 9,676.4  
Operating profit 883.8 867.5 1,607.6 1,610.5  
Identifiable assets 53,322.0   53,322.0   $ 47,832.5
Other          
Segment Reporting Information [Line Items]          
Operating profit (82.8) (54.1) (193.9) (108.5)  
Identifiable assets 5,673.8   5,673.8   1,144.4
Life Sciences | Operating segments          
Segment Reporting Information [Line Items]          
Sales 1,712.6 1,605.2 3,339.5 3,081.2  
Operating profit 344.0 291.5 653.0 562.8  
Identifiable assets 22,492.2   22,492.2   22,122.4
Diagnostics | Operating segments          
Segment Reporting Information [Line Items]          
Sales 1,618.3 1,550.9 3,155.1 3,070.6  
Operating profit 282.9 274.3 516.0 522.3  
Identifiable assets 14,307.9   14,307.9   14,031.1
Dental | Operating segments          
Segment Reporting Information [Line Items]          
Sales 712.1 733.4 1,371.8 1,406.0  
Operating profit 79.5 104.8 127.7 155.7  
Identifiable assets 6,043.9   6,043.9   5,897.3
Environmental & Applied Solutions | Operating segments          
Segment Reporting Information [Line Items]          
Sales 1,113.6 1,091.5 2,170.1 2,118.6  
Operating profit 260.2 $ 251.0 504.8 $ 478.2  
Identifiable assets $ 4,804.2   $ 4,804.2   $ 4,637.3