Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill (Details) $ in Millions	9 Months Ended
	Jun. 30, 2023 USD ($)
Goodwill
Balance at beginning of period	$ 3,524.0
Acquisition of businesses	101.5
Translation and other	75.4
Balance at end of period	3,700.9
Intelligent Devices
Goodwill
Balance at beginning of period	503.0
Acquisition of businesses	66.3
Translation and other	26.9
Balance at end of period	596.2
Software & Control
Goodwill
Balance at beginning of period	2,398.7
Acquisition of businesses	0.0
Translation and other	31.6
Balance at end of period	2,430.3
Lifecycle Services
Goodwill
Balance at beginning of period	622.3
Acquisition of businesses	35.2
Translation and other	16.9
Balance at end of period	$ 674.4