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Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill (Details)
$ in Millions
3 Months Ended
Dec. 31, 2019
USD ($)
Goodwill  
Balance at beginning of period $ 1,071.1
Acquisition of businesses 316.3
Translation 8.4
Balance at end of period 1,395.8
Architecture & Software  
Goodwill  
Balance at beginning of period 432.3
Acquisition of businesses 0.0
Translation 3.0
Balance at end of period 435.3
Control Products & Solutions  
Goodwill  
Balance at beginning of period 638.8
Acquisition of businesses 316.3
Translation 5.4
Balance at end of period $ 960.5