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Segment Information (Segment Results) (Details)
$ in Millions
3 Months Ended 6 Months Ended 9 Months Ended
Sep. 30, 2016
USD ($)
Business_Segments
Oct. 02, 2015
USD ($)
Jul. 01, 2016
Business_Segments
Sep. 30, 2016
USD ($)
Oct. 02, 2015
USD ($)
Dec. 31, 2015
USD ($)
Segment Reporting Information [Line Items]            
Number of segments reported | Business_Segments 4   5      
Sales $ 4,132.1 $ 3,512.2   $ 12,298.1 $ 10,110.7  
Operating profit 699.1 480.0   2,022.3 1,510.6  
Assets 41,297.5     41,297.5   $ 48,222.2
Continuing operations            
Segment Reporting Information [Line Items]            
Sales 4,132.1 3,512.2   12,298.1 10,110.7  
Operating profit 699.1 480.0   2,022.3 1,510.6  
Continuing operations | Operating segments | Life Sciences            
Segment Reporting Information [Line Items]            
Sales 1,325.4 804.5   3,911.8 1,940.5  
Operating profit 204.7 51.5   574.1 196.6  
Assets 19,764.4     19,764.4   19,658.4
Continuing operations | Operating segments | Diagnostics            
Segment Reporting Information [Line Items]            
Sales 1,212.7 1,175.8   3,606.5 3,545.0  
Operating profit 193.9 159.2   606.3 510.3  
Assets 9,928.2     9,928.2   9,950.7
Continuing operations | Operating segments | Dental            
Segment Reporting Information [Line Items]            
Sales 675.6 652.2   2,046.1 2,002.2  
Operating profit 101.3 96.8   305.6 254.2  
Assets 5,924.6     5,924.6   5,906.9
Continuing operations | Operating segments | Environmental & Applied Solutions            
Segment Reporting Information [Line Items]            
Sales 918.4 879.7   2,733.7 2,623.0  
Operating profit 223.4 215.6   640.1 661.6  
Assets 4,171.7     4,171.7   4,168.8
Continuing operations | Other            
Segment Reporting Information [Line Items]            
Operating profit (24.2) $ (43.1)   (103.8) $ (112.1)  
Assets 1,508.6     1,508.6   1,261.9
Discontinued operations            
Segment Reporting Information [Line Items]            
Assets $ 0.0     $ 0.0   $ 7,275.5