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Segment Information (Segment Results) (Details)
$ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Jun. 29, 2018
USD ($)
Jun. 30, 2017
USD ($)
Jun. 29, 2018
USD ($)
Business_Segments
Jun. 30, 2017
USD ($)
Dec. 31, 2017
USD ($)
Segment Reporting Information [Line Items]          
Number of segments reported | Business_Segments     4    
Sales $ 4,981.0 $ 4,510.1 $ 9,676.4 $ 8,715.8  
Operating profit 867.5 676.7 1,610.5 1,293.7  
Other          
Segment Reporting Information [Line Items]          
Operating profit (54.1) (47.5) (108.5) (94.1)  
Life Sciences | Operating segments          
Segment Reporting Information [Line Items]          
Sales 1,605.2 1,384.3 3,081.2 2,692.4  
Operating profit 291.5 221.6 562.8 433.2  
Diagnostics | Operating segments          
Segment Reporting Information [Line Items]          
Sales 1,550.9 1,440.0 3,070.6 2,767.3  
Operating profit 274.3 157.6 522.3 312.2  
Dental | Operating segments          
Segment Reporting Information [Line Items]          
Sales 733.4 702.6 1,406.0 1,358.1 $ 2,800.0
Operating profit 104.8 109.8 155.7 199.2  
Environmental & Applied Solutions | Operating segments          
Segment Reporting Information [Line Items]          
Sales 1,091.5 983.2 2,118.6 1,898.0  
Operating profit $ 251.0 $ 235.2 $ 478.2 $ 443.2