Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 30, 2022	Jun. 30, 2021	Jun. 30, 2022	Jun. 30, 2021
Disaggregation of Revenue [Line Items]
Sales	$ 1,968.7	$ 1,848.2	$ 5,634.1	$ 5,189.6
North America
Disaggregation of Revenue [Line Items]
Sales	1,239.9	1,086.7	3,412.2	3,064.7
Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	352.6	377.3	1,056.2	1,052.8
Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	246.8	274.8	791.9	743.6
Latin America
Disaggregation of Revenue [Line Items]
Sales	129.4	109.4	373.8	328.5
Intelligent Devices
Disaggregation of Revenue [Line Items]
Sales	878.3	882.9	2,587.2	2,454.8
Intelligent Devices | North America
Disaggregation of Revenue [Line Items]
Sales	549.6	548.5	1,604.4	1,536.7
Intelligent Devices | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	162.5	162.8	467.7	445.1
Intelligent Devices | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	106.4	118.1	334.3	316.6
Intelligent Devices | Latin America
Disaggregation of Revenue [Line Items]
Sales	59.8	53.5	180.8	156.4
Software & Control
Disaggregation of Revenue [Line Items]
Sales	606.9	509.6	1,655.7	1,452.9
Software & Control | North America
Disaggregation of Revenue [Line Items]
Sales	437.8	302.9	1,104.9	878.5
Software & Control | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	72.3	103.3	246.1	286.2
Software & Control | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	61.3	74.4	213.1	204.0
Software & Control | Latin America
Disaggregation of Revenue [Line Items]
Sales	35.5	29.0	91.6	84.2
Lifecycle Services
Disaggregation of Revenue [Line Items]
Sales	483.5	455.7	1,391.2	1,281.9
Lifecycle Services | North America
Disaggregation of Revenue [Line Items]
Sales	252.5	235.3	702.9	649.5
Lifecycle Services | Europe, Middle East and Africa
Disaggregation of Revenue [Line Items]
Sales	117.8	111.2	342.4	321.5
Lifecycle Services | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	79.1	82.3	244.5	223.0
Lifecycle Services | Latin America
Disaggregation of Revenue [Line Items]
Sales	$ 34.1	$ 26.9	$ 101.4	$ 87.9