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Goodwill and Other Intangible Assets - Changes in Carrying amount of Goodwill (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Goodwill    
Beginning balance $ 1,071.1 $ 1,075.5
Acquisition of businesses 551.9 14.6
Translation 27.3 (19.0)
Ending balance 1,650.3 1,071.1
Architecture & Software    
Goodwill    
Beginning balance 432.3 422.3
Acquisition of businesses 161.2 14.6
Translation 15.9 (4.6)
Ending balance 609.4 432.3
Control Products & Solutions    
Goodwill    
Beginning balance 638.8 653.2
Acquisition of businesses 390.7 0.0
Translation 11.4 (14.4)
Ending balance $ 1,040.9 $ 638.8