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Acquisitions (Narrative) (Details) - USD ($)
12 Months Ended
Feb. 14, 2017
Sep. 21, 2016
Sep. 08, 2015
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Feb. 28, 2017
Business Acquisition [Line Items]              
Cash payment, net of cash acquired       $ 311,400,000 $ 25,300,000 $ 1,638,700,000  
Goodwill       $ 1,759,600,000 1,584,400,000 1,610,500,000  
Loans Payable [Member]              
Business Acquisition [Line Items]              
Proceeds from issuance of senior notes     $ 1,800,000,000        
Senior Notes [Member]              
Business Acquisition [Line Items]              
Proceeds from issuance of senior notes     425,000,000        
Senior unsecured 5.00% Notes due on February 14, 2025 [Member]              
Business Acquisition [Line Items]              
Senior unsecured notes             $ 300,000,000
Mortara [Member]              
Business Acquisition [Line Items]              
Cash consideration $ 330,000,000            
Cash payment, net of cash acquired 311,200,000            
Goodwill $ 164,800,000            
Tridien Medical [Member]              
Business Acquisition [Line Items]              
Cash payment, net of cash acquired   $ 26,000,000          
Working capital   10,400,000          
Goodwill   7,400,000          
Intangible assets   $ 6,300,000          
Welch Allyn Holdings, Inc. [Member]              
Business Acquisition [Line Items]              
Cash consideration     1,686,800,000        
Cash payment, net of cash acquired     1,633,100,000        
Goodwill     $ 1,179,800,000        
Shares of common stock in acquisition     8,133,722        
Total combined purchase price     $ 2,049,400,000        
Goodwill adjustment         $ 23,700,000    
Pro forma revenue higher by           638,000,000  
Pro forma net income lower by           $ 59,000,000