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Goodwill and Other Intangible Assets - Changes in Carrying amount of Goodwill (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Goodwill    
Beginning balance $ 1,075.5 $ 1,077.7
Acquisition of businesses 14.6 6.8
Translation (19.0) (9.0)
Ending balance 1,071.1 1,075.5
Architecture & Software    
Goodwill    
Beginning balance 422.3 417.2
Acquisition of businesses 14.6 6.8
Translation (4.6) (1.7)
Ending balance 432.3 422.3
Control Products & Solutions    
Goodwill    
Beginning balance 653.2 660.5
Acquisition of businesses 0.0 0.0
Translation (14.4) (7.3)
Ending balance $ 638.8 $ 653.2