Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2023	Mar. 31, 2022
Disaggregation of Revenue [Line Items]
Sales	$ 2,275.4	$ 1,808.1	$ 4,256.4	$ 3,665.4
North America
Disaggregation of Revenue [Line Items]
Sales	1,310.6	1,071.6	2,489.5	2,172.3
Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	486.5	348.9	859.3	703.6
Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	334.2	266.2	630.7	545.1
Latin America
Disaggregation of Revenue [Line Items]
Sales	144.1	121.4	276.9	244.4
Intelligent Devices
Disaggregation of Revenue [Line Items]
Sales	1,023.2	808.6	1,959.4	1,708.9
Intelligent Devices | North America
Disaggregation of Revenue [Line Items]
Sales	598.7	495.9	1,166.1	1,054.8
Intelligent Devices | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	216.6	147.4	387.8	305.2
Intelligent Devices | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	136.7	104.6	268.0	227.9
Intelligent Devices | Latin America
Disaggregation of Revenue [Line Items]
Sales	71.2	60.7	137.5	121.0
Software & Control
Disaggregation of Revenue [Line Items]
Sales	741.1	534.9	1,314.4	1,048.8
Software & Control | North America
Disaggregation of Revenue [Line Items]
Sales	452.0	343.0	836.1	667.1
Software & Control | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	148.6	85.4	234.4	173.8
Software & Control | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	99.6	78.1	168.0	151.8
Software & Control | Latin America
Disaggregation of Revenue [Line Items]
Sales	40.9	28.4	75.9	56.1
Lifecycle Services
Disaggregation of Revenue [Line Items]
Sales	511.1	464.6	982.6	907.7
Lifecycle Services | North America
Disaggregation of Revenue [Line Items]
Sales	259.9	232.7	487.3	450.4
Lifecycle Services | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	121.3	116.1	237.1	224.6
Lifecycle Services | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	97.9	83.5	194.7	165.4
Lifecycle Services | Latin America
Disaggregation of Revenue [Line Items]
Sales	$ 32.0	$ 32.3	$ 63.5	$ 67.3