Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Millions	Jun. 30, 2023	Sep. 30, 2022
Other intangible assets
Amortized intangible assets, carrying amount	$ 1,235.3	$ 1,167.9
Amortized intangible assets, accumulated amortization	395.9	309.6
Amortized intangible assets, net	839.4	858.3
Total, carrying amount	1,279.0	1,211.6
Total, net	883.1	902.0
Goodwill and Other Intangible Assets (Textual) [Abstract]
Estimated amortization expense in 2023	115.4
Estimated amortization expense in 2024	113.7
Estimated amortization expense in 2025	110.5
Estimated amortization expense in 2026	109.3
Estimated amortization expense in 2027	102.3
Trademarks
Other intangible assets
Allen-Bradley trademark not subject to amortization	43.7	43.7
Software products
Other intangible assets
Amortized intangible assets, carrying amount	101.1	97.6
Amortized intangible assets, accumulated amortization	65.7	57.9
Amortized intangible assets, net	35.4	39.7
Customer relationships
Other intangible assets
Amortized intangible assets, carrying amount	614.2	582.7
Amortized intangible assets, accumulated amortization	136.7	107.2
Amortized intangible assets, net	477.5	475.5
Technology
Other intangible assets
Amortized intangible assets, carrying amount	426.1	410.8
Amortized intangible assets, accumulated amortization	160.3	119.3
Amortized intangible assets, net	265.8	291.5
Trademarks
Other intangible assets
Amortized intangible assets, carrying amount	87.1	70.4
Amortized intangible assets, accumulated amortization	27.0	19.4
Amortized intangible assets, net	60.1	51.0
Other
Other intangible assets
Amortized intangible assets, carrying amount	6.8	6.4
Amortized intangible assets, accumulated amortization	6.2	5.8
Amortized intangible assets, net	$ 0.6	$ 0.6