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Segment Information (Segment Results) (Details)
$ in Millions
3 Months Ended
Mar. 30, 2018
USD ($)
Business_Segments
Mar. 31, 2017
USD ($)
Segment Reporting Information [Line Items]    
Number of segments reported | Business_Segments 4  
Sales $ 4,695.4 $ 4,205.7
Operating profit 743.0 617.0
Other    
Segment Reporting Information [Line Items]    
Operating profit (54.4) (46.6)
Life Sciences | Operating segments    
Segment Reporting Information [Line Items]    
Sales 1,476.0 1,308.1
Operating profit 271.3 211.6
Diagnostics | Operating segments    
Segment Reporting Information [Line Items]    
Sales 1,519.7 1,327.3
Operating profit 248.0 154.6
Dental | Operating segments    
Segment Reporting Information [Line Items]    
Sales 672.6 655.5
Operating profit 50.9 89.4
Environmental & Applied Solutions | Operating segments    
Segment Reporting Information [Line Items]    
Sales 1,027.1 914.8
Operating profit $ 227.2 $ 208.0