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Acquisitions (Narrative) (Details)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Apr. 13, 2018
USD ($)
Nov. 04, 2016
USD ($)
$ / shares
Mar. 31, 2017
USD ($)
Dec. 31, 2018
USD ($)
Businesses
Reporting_Unit
Dec. 31, 2017
USD ($)
Business
Dec. 31, 2016
USD ($)
Reporting_Unit
Business
Business Acquisition [Line Items]            
Goodwill       $ 1,275.4 $ 267.6 $ 3,061.8
Net cash consideration       $ 2,173.3 385.8 $ 4,880.1
Number of segments | Reporting_Unit       4   4
Payment for purchase of noncontrolling interest     $ (64.0) $ 0.0 (64.4) $ 0.0
Change in noncontrolling interests     (63.0)      
Adjustments to additional paid in capital, other     $ (1.0)      
IDT            
Business Acquisition [Line Items]            
Revenue reported by acquired entity for last annual period $ 260.0          
Goodwill 1,200.0     1,212.6    
Net cash consideration $ 2,100.0     2,078.2    
Transaction costs       15.0 15.0  
Others            
Business Acquisition [Line Items]            
Revenue reported by acquired entity for last annual period       53.0 160.0 237.0
Goodwill       $ 62.8 $ 268.0 $ 477.8
Number of businesses acquired       1 10 7
Net cash consideration       $ 95.1 $ 386.0 $ 882.4
Cepheid            
Business Acquisition [Line Items]            
Revenue reported by acquired entity for last annual period   $ 539.0        
Goodwill           2,584.0
Net cash consideration           3,997.7
Business acquisition, share price | $ / shares   $ 53.00        
Consideration transferred   $ 4,000.0        
Transaction costs           61.0
Fair value adjustment to inventory | IDT            
Business Acquisition [Line Items]            
Fair value adjustments to inventory       $ 1.0 $ (1.0)  
Fair value adjustment to inventory | Cepheid            
Business Acquisition [Line Items]            
Fair value adjustments to inventory           $ 23.0