Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill (Details) $ in Millions	6 Months Ended
	Mar. 31, 2023 USD ($)
Goodwill
Balance at beginning of period	$ 3,524.0
Acquisition of businesses	102.0
Translation and other	59.2
Balance at end of period	3,685.2
Intelligent Devices
Goodwill
Balance at beginning of period	503.0
Acquisition of businesses	66.3
Translation and other	21.1
Balance at end of period	590.4
Software & Control
Goodwill
Balance at beginning of period	2,398.7
Acquisition of businesses	0.0
Translation and other	24.7
Balance at end of period	2,423.4
Lifecycle Services
Goodwill
Balance at beginning of period	622.3
Acquisition of businesses	35.7
Translation and other	13.4
Balance at end of period	$ 671.4