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Revenue Recognition - Dual Reporting - Consolidated Statements of Operations (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2019
Mar. 31, 2018
Sales        
Sales $ 1,657.2 $ 1,651.2 $ 3,299.5 $ 3,237.8
Cost of sales        
Cost of sales (949.0) (947.3) (1,852.6) (1,833.7)
Income tax provision (56.4) (72.2) (96.9) (606.4)
Impact of Adoption | Accounting Standards Update 2014-09        
Cost of sales        
Income tax provision 2.0   1.3  
Balances without adoption of ASC 606        
Cost of sales        
Income tax provision (54.4)   (95.6)  
Products and solutions        
Sales        
Sales 1,466.8 1,470.5 2,924.4 2,883.0
Cost of sales        
Cost of sales (823.6) (836.1) (1,606.0) (1,616.6)
Products and solutions | Impact of Adoption | Accounting Standards Update 2014-09        
Sales        
Sales (2.0)   2.6  
Cost of sales        
Cost of sales (2.7)   (3.8)  
Products and solutions | Balances without adoption of ASC 606        
Sales        
Sales 1,464.8   2,927.0  
Cost of sales        
Cost of sales (826.3)   (1,609.8)  
Services        
Sales        
Sales 190.4 180.7 375.1 354.8
Cost of sales        
Cost of sales (125.4) $ (111.2) (246.6) $ (217.1)
Services | Impact of Adoption | Accounting Standards Update 2014-09        
Sales        
Sales (7.2)   (16.4)  
Cost of sales        
Cost of sales 5.0   13.8  
Services | Balances without adoption of ASC 606        
Sales        
Sales 183.2   358.7  
Cost of sales        
Cost of sales $ (120.4)   $ (232.8)