Goodwill and Other Intangible Assets - Other Intangibles (Details) - USD ($) $ in Millions	Sep. 30, 2023	Sep. 30, 2022
Other intangible assets
Amortized intangible assets, carrying amount	$ 1,222.9	$ 1,167.9
Amortized intangible assets, accumulated amortization	414.2	309.6
Amortized intangible assets, net	808.7	858.3
Total other intangible assets, carrying amount	1,266.6	1,211.6
Total other intangible assets, net	852.4	902.0
Software products
Other intangible assets
Amortized intangible assets, carrying amount	100.4	97.6
Amortized intangible assets, accumulated amortization	65.1	57.9
Amortized intangible assets, net	35.3	39.7
Customer relationships
Other intangible assets
Amortized intangible assets, carrying amount	606.1	582.7
Amortized intangible assets, accumulated amortization	141.3	107.2
Amortized intangible assets, net	464.8	475.5
Technology
Other intangible assets
Amortized intangible assets, carrying amount	424.1	410.8
Amortized intangible assets, accumulated amortization	173.1	119.3
Amortized intangible assets, net	251.0	291.5
Trademarks
Other intangible assets
Amortized intangible assets, carrying amount	86.3	70.4
Amortized intangible assets, accumulated amortization	29.3	19.4
Amortized intangible assets, net	57.0	51.0
Other
Other intangible assets
Amortized intangible assets, carrying amount	6.0	6.4
Amortized intangible assets, accumulated amortization	5.4	5.8
Amortized intangible assets, net	0.6	0.6
Trademarks
Other intangible assets
Allen-Bradley® trademark not subject to amortization	$ 43.7	$ 43.7