Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Disaggregation of Revenue [Line Items]
Sales	$ 8,264.2	$ 9,058.0	$ 7,760.4
North America
Disaggregation of Revenue [Line Items]
Sales	5,052.8	5,224.0	4,722.0
Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	1,504.5	1,870.6	1,437.6
Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	1,072.8	1,358.0	1,088.0
Latin America
Disaggregation of Revenue [Line Items]
Sales	634.1	605.4	$ 512.8
Intelligent Devices
Disaggregation of Revenue [Line Items]
Sales	3,804.1	4,098.2
Intelligent Devices | North America
Disaggregation of Revenue [Line Items]
Sales	2,503.1	2,409.2
Intelligent Devices | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	614.7	829.1
Intelligent Devices | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	399.2	568.6
Intelligent Devices | Latin America
Disaggregation of Revenue [Line Items]
Sales	287.1	291.3
Software & Control
Disaggregation of Revenue [Line Items]
Sales	2,187.4	2,886.0
Software & Control | North America
Disaggregation of Revenue [Line Items]
Sales	1,414.5	1,794.8
Software & Control | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	350.7	528.0
Software & Control | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	260.7	393.7
Software & Control | Latin America
Disaggregation of Revenue [Line Items]
Sales	161.5	169.5
Lifecycle Services
Disaggregation of Revenue [Line Items]
Sales	2,272.7	2,073.8
Lifecycle Services | North America
Disaggregation of Revenue [Line Items]
Sales	1,135.2	1,020.0
Lifecycle Services | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	539.1	513.5
Lifecycle Services | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	412.9	395.7
Lifecycle Services | Latin America
Disaggregation of Revenue [Line Items]
Sales	$ 185.5	$ 144.6