Goodwill and Other Intangible Assets - Other Intangibles (Details) - USD ($) $ in Millions	Sep. 30, 2022	Sep. 30, 2021
Other intangible assets
Amortized intangible assets, carrying amount	$ 1,167.9	$ 1,188.0
Amortized intangible assets, accumulated amortization	309.6	209.9
Amortized intangible assets, net	858.3	978.1
Total other intangible assets, carrying amount	1,211.6	1,231.7
Total other intangible assets, net	902.0	1,021.8
Software products
Other intangible assets
Amortized intangible assets, carrying amount	97.6	90.4
Amortized intangible assets, accumulated amortization	57.9	43.2
Amortized intangible assets, net	39.7	47.2
Customer relationships
Other intangible assets
Amortized intangible assets, carrying amount	582.7	595.9
Amortized intangible assets, accumulated amortization	107.2	75.4
Amortized intangible assets, net	475.5	520.5
Technology
Other intangible assets
Amortized intangible assets, carrying amount	410.8	420.8
Amortized intangible assets, accumulated amortization	119.3	71.7
Amortized intangible assets, net	291.5	349.1
Trademarks
Other intangible assets
Amortized intangible assets, carrying amount	70.4	73.8
Amortized intangible assets, accumulated amortization	19.4	13.3
Amortized intangible assets, net	51.0	60.5
Other
Other intangible assets
Amortized intangible assets, carrying amount	6.4	7.1
Amortized intangible assets, accumulated amortization	5.8	6.3
Amortized intangible assets, net	0.6	0.8
Trademarks
Other intangible assets
Allen-Bradley® trademark not subject to amortization	$ 43.7	$ 43.7