Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Mar. 31, 2022	Mar. 31, 2021	Mar. 31, 2022	Mar. 31, 2021
Disaggregation of Revenue [Line Items]
Sales	$ 1,808.1	$ 1,776.1	$ 3,665.4	$ 3,341.4
North America
Disaggregation of Revenue [Line Items]
Sales	1,071.6	1,065.7	2,172.3	1,978.0
Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	348.9	354.8	703.6	675.5
Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	266.2	246.9	545.1	468.8
Latin America
Disaggregation of Revenue [Line Items]
Sales	121.4	108.7	244.4	219.1
Intelligent Devices
Disaggregation of Revenue [Line Items]
Sales	808.6	850.2	1,708.9	1,571.9
Intelligent Devices | North America
Disaggregation of Revenue [Line Items]
Sales	495.9	538.9	1,054.8	988.2
Intelligent Devices | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	147.4	152.0	305.2	282.3
Intelligent Devices | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	104.6	106.7	227.9	198.5
Intelligent Devices | Latin America
Disaggregation of Revenue [Line Items]
Sales	60.7	52.6	121.0	102.9
Software & Control
Disaggregation of Revenue [Line Items]
Sales	534.9	502.3	1,048.8	943.3
Software & Control | North America
Disaggregation of Revenue [Line Items]
Sales	343.0	309.2	667.1	575.6
Software & Control | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	85.4	98.1	173.8	182.9
Software & Control | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	78.1	67.0	151.8	129.6
Software & Control | Latin America
Disaggregation of Revenue [Line Items]
Sales	28.4	28.0	56.1	55.2
Lifecycle Services
Disaggregation of Revenue [Line Items]
Sales	464.6	423.6	907.7	826.2
Lifecycle Services | North America
Disaggregation of Revenue [Line Items]
Sales	232.7	217.6	450.4	414.2
Lifecycle Services | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	116.1	104.7	224.6	210.3
Lifecycle Services | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	83.5	73.2	165.4	140.7
Lifecycle Services | Latin America
Disaggregation of Revenue [Line Items]
Sales	$ 32.3	$ 28.1	$ 67.3	$ 61.0