Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Disaggregation of Revenue [Line Items]
Sales	$ 9,058.0	$ 7,760.4	$ 6,997.4
North America
Disaggregation of Revenue [Line Items]
Sales	5,224.0	4,722.0	4,132.8
Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	1,870.6	1,437.6	1,405.7
Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	1,358.0	1,088.0	1,012.2
Latin America
Disaggregation of Revenue [Line Items]
Sales	605.4	512.8	$ 446.7
Intelligent Devices
Disaggregation of Revenue [Line Items]
Sales	4,098.2	3,544.6
Intelligent Devices | North America
Disaggregation of Revenue [Line Items]
Sales	2,409.2	2,223.7
Intelligent Devices | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	829.1	629.3
Intelligent Devices | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	568.6	443.5
Intelligent Devices | Latin America
Disaggregation of Revenue [Line Items]
Sales	291.3	248.1
Software & Control
Disaggregation of Revenue [Line Items]
Sales	2,886.0	2,312.9
Software & Control | North America
Disaggregation of Revenue [Line Items]
Sales	1,794.8	1,542.2
Software & Control | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	528.0	350.4
Software & Control | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	393.7	291.8
Software & Control | Latin America
Disaggregation of Revenue [Line Items]
Sales	169.5	128.5
Lifecycle Services
Disaggregation of Revenue [Line Items]
Sales	2,073.8	1,902.9
Lifecycle Services | North America
Disaggregation of Revenue [Line Items]
Sales	1,020.0	956.1
Lifecycle Services | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	513.5	457.9
Lifecycle Services | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	395.7	352.7
Lifecycle Services | Latin America
Disaggregation of Revenue [Line Items]
Sales	$ 144.6	$ 136.2