Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill (Details) $ in Millions	3 Months Ended
	Dec. 31, 2024 USD ($)
Goodwill
Balance at beginning of period	$ 3,993.0
Translation	(78.0)
Balance at end of period	3,915.0
Gross carrying value of goodwill	4,073.0
Accumulated impairment losses	(158.0)
Intelligent Devices
Goodwill
Balance at beginning of period	900.0
Translation	(35.0)
Balance at end of period	865.0
Gross carrying value of goodwill	865.0
Accumulated impairment losses	0.0
Software & Control
Goodwill
Balance at beginning of period	2,437.0
Translation	(28.0)
Balance at end of period	2,409.0
Gross carrying value of goodwill	2,409.0
Accumulated impairment losses	0.0
Lifecycle Services
Goodwill
Balance at beginning of period	656.0
Translation	(15.0)
Balance at end of period	641.0
Gross carrying value of goodwill	799.0
Accumulated impairment losses	$ (158.0)