Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($) $ in Millions	3 Months Ended
	Dec. 31, 2023	Dec. 31, 2022
Disaggregation of Revenue [Line Items]
Sales	$ 2,052.1	$ 1,981.0
North America
Disaggregation of Revenue [Line Items]
Sales	1,247.1	1,178.9
Europe, Middle East, and Africa
Disaggregation of Revenue [Line Items]
Sales	388.3	372.8
Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	275.6	296.5
Latin America
Disaggregation of Revenue [Line Items]
Sales	141.1	132.8
Intelligent Devices
Disaggregation of Revenue [Line Items]
Sales	927.3	936.2
Intelligent Devices | North America
Disaggregation of Revenue [Line Items]
Sales	604.3	567.4
Intelligent Devices | Europe, Middle East, and Africa
Disaggregation of Revenue [Line Items]
Sales	166.6	171.2
Intelligent Devices | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	97.9	131.3
Intelligent Devices | Latin America
Disaggregation of Revenue [Line Items]
Sales	58.5	66.3
Software & Control
Disaggregation of Revenue [Line Items]
Sales	603.6	573.3
Software & Control | North America
Disaggregation of Revenue [Line Items]
Sales	386.6	384.1
Software & Control | Europe, Middle East, and Africa
Disaggregation of Revenue [Line Items]
Sales	99.8	85.8
Software & Control | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	79.0	68.4
Software & Control | Latin America
Disaggregation of Revenue [Line Items]
Sales	38.2	35.0
Lifecycle Services
Disaggregation of Revenue [Line Items]
Sales	521.2	471.5
Lifecycle Services | North America
Disaggregation of Revenue [Line Items]
Sales	256.2	227.4
Lifecycle Services | Europe, Middle East, and Africa
Disaggregation of Revenue [Line Items]
Sales	121.9	115.8
Lifecycle Services | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	98.7	96.8
Lifecycle Services | Latin America
Disaggregation of Revenue [Line Items]
Sales	$ 44.4	$ 31.5