Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Disaggregation of Revenue [Line Items]
Sales	$ 7,760.4	$ 6,997.4	$ 6,329.8
North America
Disaggregation of Revenue [Line Items]
Sales	4,722.0	4,132.8	3,760.2
Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	1,437.6	1,405.7	1,249.3
Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	1,088.0	1,012.2	868.7
Latin America
Disaggregation of Revenue [Line Items]
Sales	512.8	446.7	$ 451.6
Intelligent Devices
Disaggregation of Revenue [Line Items]
Sales	3,544.6	3,311.9
Intelligent Devices | North America
Disaggregation of Revenue [Line Items]
Sales	2,223.7	2,075.4
Intelligent Devices | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	629.3	595.9
Intelligent Devices | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	443.5	432.5
Intelligent Devices | Latin America
Disaggregation of Revenue [Line Items]
Sales	248.1	208.1
Software & Control
Disaggregation of Revenue [Line Items]
Sales	2,312.9	1,947.0
Software & Control | North America
Disaggregation of Revenue [Line Items]
Sales	1,542.2	1,186.3
Software & Control | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	350.4	375.0
Software & Control | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	291.8	273.9
Software & Control | Latin America
Disaggregation of Revenue [Line Items]
Sales	128.5	111.8
Lifecycle Services
Disaggregation of Revenue [Line Items]
Sales	1,902.9	1,738.5
Lifecycle Services | North America
Disaggregation of Revenue [Line Items]
Sales	956.1	871.1
Lifecycle Services | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	457.9	434.8
Lifecycle Services | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	352.7	305.8
Lifecycle Services | Latin America
Disaggregation of Revenue [Line Items]
Sales	$ 136.2	$ 126.8