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Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill (Details)
$ in Millions
6 Months Ended
Mar. 31, 2020
USD ($)
Goodwill  
Balance at beginning of period $ 1,071.1
Acquisition of businesses 304.5
Translation (13.3)
Balance at end of period 1,362.3
Architecture & Software  
Goodwill  
Balance at beginning of period 432.3
Acquisition of businesses 0.0
Translation (3.5)
Balance at end of period 428.8
Control Products & Solutions  
Goodwill  
Balance at beginning of period 638.8
Acquisition of businesses 304.5
Translation (9.8)
Balance at end of period $ 933.5