Revenue Recognition - Disaggregation of Revenue by Operating Segment and by Geographic Region (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 30, 2021	Jun. 30, 2020	Jun. 30, 2021	Jun. 30, 2020
Disaggregation of Revenue [Line Items]
Sales	$ 1,848.2	$ 1,394.0	$ 5,189.6	$ 4,759.8
North America
Disaggregation of Revenue [Line Items]
Sales	1,086.7	826.0	3,064.7	2,855.0
Europe, Middle East and Africa (EMEA)
Disaggregation of Revenue [Line Items]
Sales	377.3	280.4	1,052.8	924.1
Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	274.8	206.9	743.6	637.3
Latin America
Disaggregation of Revenue [Line Items]
Sales	109.4	80.7	328.5	343.4
Intelligent Devices
Disaggregation of Revenue [Line Items]
Sales	882.9	659.9	2,454.8	2,221.5
Intelligent Devices | North America
Disaggregation of Revenue [Line Items]
Sales	548.5	417.8	1,536.7	1,404.5
Intelligent Devices | Europe, Middle East and Africa (EMEA)
Disaggregation of Revenue [Line Items]
Sales	162.8	119.3	445.1	385.6
Intelligent Devices | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	118.1	89.6	316.6	276.6
Intelligent Devices | Latin America
Disaggregation of Revenue [Line Items]
Sales	53.5	33.2	156.4	154.8
Software & Control
Disaggregation of Revenue [Line Items]
Sales	509.6	364.7	1,452.9	1,265.4
Software & Control | North America
Disaggregation of Revenue [Line Items]
Sales	302.9	216.8	878.5	780.1
Software & Control | Europe, Middle East and Africa (EMEA)
Disaggregation of Revenue [Line Items]
Sales	103.3	71.9	286.2	222.8
Software & Control | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	74.4	61.5	204.0	187.0
Software & Control | Latin America
Disaggregation of Revenue [Line Items]
Sales	29.0	14.5	84.2	75.5
Lifecycle Services
Disaggregation of Revenue [Line Items]
Sales	455.7	369.4	1,281.9	1,272.9
Lifecycle Services | North America
Disaggregation of Revenue [Line Items]
Sales	235.3	191.4	649.5	670.4
Lifecycle Services | Europe, Middle East and Africa (EMEA)
Disaggregation of Revenue [Line Items]
Sales	111.2	89.2	321.5	315.7
Lifecycle Services | Asia Pacific
Disaggregation of Revenue [Line Items]
Sales	82.3	55.8	223.0	173.7
Lifecycle Services | Latin America
Disaggregation of Revenue [Line Items]
Sales	$ 26.9	$ 33.0	$ 87.9	$ 113.1