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Acquisitions (Narrative) (Details)
$ / shares in Units, SFr in Millions, $ in Millions, € in Billions
3 Months Ended 12 Months Ended
Nov. 04, 2016
USD ($)
$ / shares
Dec. 08, 2015
CHF (SFr)
Dec. 08, 2015
USD ($)
Sep. 15, 2015
USD ($)
Aug. 31, 2015
USD ($)
$ / shares
Jul. 08, 2015
USD ($)
Jul. 08, 2015
EUR (€)
Mar. 31, 2017
USD ($)
Dec. 31, 2017
USD ($)
Businesses
Reporting_Unit
Dec. 31, 2016
USD ($)
Reporting_Unit
Business
Dec. 31, 2015
USD ($)
Reporting_Unit
Business
Jul. 31, 2015
USD ($)
Dec. 31, 2017
CHF (SFr)
Dec. 31, 2017
USD ($)
Dec. 31, 2016
CHF (SFr)
Dec. 31, 2016
USD ($)
Business Acquisition [Line Items]                                
Number of businesses acquired | Businesses                 10              
Net cash consideration                 $ 385.8 $ 4,880.1 $ 14,247.8          
Revenue reported by acquired entity for last annual period                 160.0              
Goodwill                 $ 267.6 $ 3,061.8 $ 9,841.0          
Number of segments | Reporting_Unit                 4 4 4          
Assumed debt                     $ 417.0     $ 0.0   $ 1.0
Change in noncontrolling interests               $ (63.0)                
Payment for purchase of noncontrolling interest               64.0 $ 64.4 $ 0.0 0.0          
Adjustments to additional paid in capital, other               $ (1.0)                
Cepheid                                
Business Acquisition [Line Items]                                
Net cash consideration                   3,997.7            
Revenue reported by acquired entity for last annual period                   539.0            
Goodwill                   $ 2,584.0            
Business acquisition, share price | $ / shares $ 53.00                              
Business combination, consideration transferred $ 4,000.0                              
Assumed debt                               1.0
Transaction costs                               61.0
Pall Corporation                                
Business Acquisition [Line Items]                                
Net cash consideration                     13,577.6          
Revenue reported by acquired entity for last annual period                       $ 2,800.0        
Goodwill         $ 9,600.0           9,556.2          
Business acquisition, share price | $ / shares         $ 127.20                      
Business combination, consideration transferred         $ 13,600.0                      
Assumed debt         417.0           416.9          
Cash acquired from acquisition         1,200.0                      
Payments to acquire businesses, gross         2,500.0                      
Transaction costs                     47.0          
Defined benefit plan, effect of settlements and curtailments on accumulated benefit obligation, pretax curtailment gain                     $ 11.0          
Others                                
Business Acquisition [Line Items]                                
Number of businesses acquired | Business                   7 9          
Net cash consideration                   $ 882.4 $ 670.2          
Revenue reported by acquired entity for last annual period                   237.0 355.0          
Goodwill                   477.8 284.8          
Assumed debt                     0.1         $ 0.0
Commercial paper | Pall Corporation                                
Business Acquisition [Line Items]                                
Net proceeds from debt         $ 8,100.0                      
Euro-denominated senior unsecured notes, 2017, 2019, 2022 and 2025 tranches | Senior notes | Pall Corporation                                
Business Acquisition [Line Items]                                
Net proceeds from debt           $ 3,000.0 € 2.7                  
U.S. dollar-denominated senior unsecured notes | Senior notes                                
Business Acquisition [Line Items]                                
Net proceeds from debt       $ 2,000.0                        
Swiss franc-denominated senior unsecured bonds | Bonds | Pall Corporation                                
Business Acquisition [Line Items]                                
Net proceeds from debt   SFr 758 $ 739.0                          
0.0% senior unsecured bonds due 2017 | Bonds                                
Business Acquisition [Line Items]                                
Debt instrument, face amount | SFr   SFr 100                     SFr 0   SFr 100  
Interest rate of debt instrument                         0.00% 0.00%    
Fair value adjustment to inventory | Cepheid                                
Business Acquisition [Line Items]                                
Fair value adjustments to inventory                   $ (23.0)            
Fair value adjustment to inventory | Pall Corporation                                
Business Acquisition [Line Items]                                
Fair value adjustments to inventory                     (91.0)          
Fair value adjustment to inventory | Nobel Biocare                                
Business Acquisition [Line Items]                                
Fair value adjustments to inventory                     $ (20.0)