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Basis of Presentation and Accounting Policies - Revenue Recognition, Receivables, Research and Development Expenses, and Recently Issued Accounting Pronouncements (Narrative) (Details) - USD ($)
shares in Millions, $ in Millions
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Oct. 01, 2018
New Accounting Pronouncements or Change in Accounting Principle [Line Items]        
Percentage of consolidated sales recorded when all of the following have occurred: persuasive evidence of a sales agreement exists; pricing is fixed or determinable; collection is reasonably assured; and product has been delivered and acceptance has occurred, as may be required according to contract terms, or services have been rendered 85.00%      
Allowances for doubtful accounts $ 17.1 $ 24.9    
Allowance for certain customer returns, rebates and incentives 8.7 11.9    
Research and development costs $ 371.8 $ 348.2 $ 319.3  
Antidilutive share-based compensation awards (in shares) 0.9 0.7 2.2  
Adjustment to retained earnings due to adoption of new accounting guidance $ 6,198.1 $ 6,103.4    
Pro Forma | Accounting Standards Update 2017-07        
New Accounting Pronouncements or Change in Accounting Principle [Line Items]        
Effect from the adoption of new standard $ 23.8 $ 77.6 $ 67.8  
Difference between Revenue Guidance in Effect before and after Topic 606 | Scenario, Forecast | Accounting Standards Update 2014-09        
New Accounting Pronouncements or Change in Accounting Principle [Line Items]        
Adjustment to retained earnings due to adoption of new accounting guidance       $ 10.0