Business Segment Information - Components of Identifiable Assets, Depreciation and Amortization, and Capital Expenditures for Property (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Segment Reporting Information [Line Items]
Identifiable assets	$ 11,219.0	$ 11,232.0	$ 11,304.0
Depreciation and amortization	325.0	317.0	250.0
Purchase accounting depreciation and amortization	141.0	144.0	107.0
Capital expenditures for property	186.0	225.0	161.0
Operating Segments
Segment Reporting Information [Line Items]
Depreciation and amortization	184.0	173.0	143.0
Corporate
Segment Reporting Information [Line Items]
Identifiable assets	2,350.0	2,105.0	2,551.0
Depreciation and amortization	5.0	4.0	2.0
Capital expenditures for property	20.0	30.0	36.0
Intelligent Devices | Operating Segments
Segment Reporting Information [Line Items]
Identifiable assets	3,177.0	2,798.0	2,676.0
Depreciation and amortization	62.0	58.0	50.0
Capital expenditures for property	81.0	75.0	61.0
Software & Control | Operating Segments
Segment Reporting Information [Line Items]
Identifiable assets	3,795.0	4,293.0	4,241.0
Depreciation and amortization	74.0	68.0	56.0
Capital expenditures for property	47.0	67.0	40.0
Lifecycle Services | Operating Segments
Segment Reporting Information [Line Items]
Identifiable assets	1,897.0	2,036.0	1,836.0
Depreciation and amortization	43.0	43.0	35.0
Capital expenditures for property	$ 38.0	$ 53.0	$ 24.0