Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($) $ in Millions	3 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Disaggregation of Revenue [Line Items]
Sales	$ 1,981.0	$ 1,857.3
North America
Disaggregation of Revenue [Line Items]
Sales	1,178.9	1,100.7
Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	372.8	354.7
Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	296.5	278.9
Latin America
Disaggregation of Revenue [Line Items]
Sales	132.8	123.0
Intelligent Devices
Disaggregation of Revenue [Line Items]
Sales	936.2	900.3
Intelligent Devices | North America
Disaggregation of Revenue [Line Items]
Sales	567.4	558.9
Intelligent Devices | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	171.2	157.8
Intelligent Devices | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	131.3	123.3
Intelligent Devices | Latin America
Disaggregation of Revenue [Line Items]
Sales	66.3	60.3
Software & Control
Disaggregation of Revenue [Line Items]
Sales	573.3	513.9
Software & Control | North America
Disaggregation of Revenue [Line Items]
Sales	384.1	324.1
Software & Control | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	85.8	88.4
Software & Control | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	68.4	73.7
Software & Control | Latin America
Disaggregation of Revenue [Line Items]
Sales	35.0	27.7
Lifecycle Services
Disaggregation of Revenue [Line Items]
Sales	471.5	443.1
Lifecycle Services | North America
Disaggregation of Revenue [Line Items]
Sales	227.4	217.7
Lifecycle Services | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	115.8	108.5
Lifecycle Services | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	96.8	81.9
Lifecycle Services | Latin America
Disaggregation of Revenue [Line Items]
Sales	$ 31.5	$ 35.0