Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($) $ in Millions	3 Months Ended
	Dec. 31, 2021	Dec. 31, 2020
Disaggregation of Revenue [Line Items]
Sales	$ 1,857.3	$ 1,565.3
North America
Disaggregation of Revenue [Line Items]
Sales	1,100.7	912.3
Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	354.7	320.7
Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	278.9	221.9
Latin America
Disaggregation of Revenue [Line Items]
Sales	123.0	110.4
Intelligent Devices
Disaggregation of Revenue [Line Items]
Sales	900.3	721.7
Intelligent Devices | North America
Disaggregation of Revenue [Line Items]
Sales	558.9	449.3
Intelligent Devices | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	157.8	130.3
Intelligent Devices | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	123.3	91.8
Intelligent Devices | Latin America
Disaggregation of Revenue [Line Items]
Sales	60.3	50.3
Software & Control
Disaggregation of Revenue [Line Items]
Sales	513.9	441.0
Software & Control | North America
Disaggregation of Revenue [Line Items]
Sales	324.1	266.4
Software & Control | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	88.4	84.8
Software & Control | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	73.7	62.6
Software & Control | Latin America
Disaggregation of Revenue [Line Items]
Sales	27.7	27.2
Lifecycle Services
Disaggregation of Revenue [Line Items]
Sales	443.1	402.6
Lifecycle Services | North America
Disaggregation of Revenue [Line Items]
Sales	217.7	196.6
Lifecycle Services | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	108.5	105.6
Lifecycle Services | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	81.9	67.5
Lifecycle Services | Latin America
Disaggregation of Revenue [Line Items]
Sales	$ 35.0	$ 32.9