Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Millions	Dec. 31, 2024	Sep. 30, 2024
Other intangible assets
Amortized intangible assets, carrying amount	$ 1,585.0	$ 1,591.0
Amortized intangible assets, accumulated amortization	602.0	569.0
Amortized intangible assets, net	983.0	1,022.0
Total, carrying amount	1,629.0	1,635.0
Total, net	1,027.0	1,066.0
Goodwill and Other Intangible Assets (Textual) [Abstract]
Estimated amortization expense in 2025	152.0
Estimated amortization expense in 2026	150.0
Estimated amortization expense in 2027	141.0
Estimated amortization expense in 2028	129.0
Estimated amortization expense in 2029	89.0
Trademarks
Other intangible assets
Allen-Bradley trademark not subject to amortization	44.0	44.0
Software products
Other intangible assets
Amortized intangible assets, carrying amount	107.0	105.0
Amortized intangible assets, accumulated amortization	79.0	76.0
Amortized intangible assets, net	28.0	29.0
Customer relationships
Other intangible assets
Amortized intangible assets, carrying amount	614.0	619.0
Amortized intangible assets, accumulated amortization	196.0	187.0
Amortized intangible assets, net	418.0	432.0
Technology
Other intangible assets
Amortized intangible assets, carrying amount	724.0	729.0
Amortized intangible assets, accumulated amortization	272.0	257.0
Amortized intangible assets, net	452.0	472.0
Trademarks
Other intangible assets
Amortized intangible assets, carrying amount	134.0	132.0
Amortized intangible assets, accumulated amortization	50.0	44.0
Amortized intangible assets, net	84.0	88.0
Other
Other intangible assets
Amortized intangible assets, carrying amount	6.0	6.0
Amortized intangible assets, accumulated amortization	5.0	5.0
Amortized intangible assets, net	$ 1.0	$ 1.0