Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 30, 2023	Jun. 30, 2022	Jun. 30, 2023	Jun. 30, 2022
Disaggregation of Revenue [Line Items]
Sales	$ 2,238.7	$ 1,968.7	$ 6,495.1	$ 5,634.1
North America
Disaggregation of Revenue [Line Items]
Sales	1,260.9	1,239.9	3,750.4	3,412.2
Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	494.4	352.6	1,353.7	1,056.2
Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	343.5	246.8	974.2	791.9
Latin America
Disaggregation of Revenue [Line Items]
Sales	139.9	129.4	416.8	373.8
Intelligent Devices
Disaggregation of Revenue [Line Items]
Sales	968.1	878.3	2,927.5	2,587.2
Intelligent Devices | North America
Disaggregation of Revenue [Line Items]
Sales	548.5	549.6	1,714.6	1,604.4
Intelligent Devices | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	220.4	162.5	608.2	467.7
Intelligent Devices | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	133.7	106.4	401.7	334.3
Intelligent Devices | Latin America
Disaggregation of Revenue [Line Items]
Sales	65.5	59.8	203.0	180.8
Software & Control
Disaggregation of Revenue [Line Items]
Sales	750.6	606.9	2,065.0	1,655.7
Software & Control | North America
Disaggregation of Revenue [Line Items]
Sales	460.9	437.8	1,297.0	1,104.9
Software & Control | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	137.3	72.3	371.7	246.1
Software & Control | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	113.6	61.3	281.6	213.1
Software & Control | Latin America
Disaggregation of Revenue [Line Items]
Sales	38.8	35.5	114.7	91.6
Lifecycle Services
Disaggregation of Revenue [Line Items]
Sales	520.0	483.5	1,502.6	1,391.2
Lifecycle Services | North America
Disaggregation of Revenue [Line Items]
Sales	251.5	252.5	738.8	702.9
Lifecycle Services | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	136.7	117.8	373.8	342.4
Lifecycle Services | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	96.2	79.1	290.9	244.5
Lifecycle Services | Latin America
Disaggregation of Revenue [Line Items]
Sales	$ 35.6	$ 34.1	$ 99.1	$ 101.4