Business Segment Information - Narrative (Details) $ in Millions	12 Months Ended
Sep. 30, 2024 USD ($) segment	Sep. 30, 2023 USD ($)	Sep. 30, 2022 USD ($)
Segment Reporting Information [Line Items]
Number of operating segments \| segment	3
Identifiable assets	$ 11,232.1	$ 11,304.0	$ 10,758.7
Sales	8,264.2	9,058.0	7,760.4
Intelligent Devices
Segment Reporting Information [Line Items]
Sales	3,804.1	4,098.2
U.S. Plans
Segment Reporting Information [Line Items]
Sales	$ 4,611.9	$ 4,773.2	$ 4,315.5
Customer Concentration Risk \| Revenue from Contract with Customer Benchmark \| Systems And Services
Segment Reporting Information [Line Items]
Portion of total sales from individual segment	20.00%	20.00%	20.00%
Corporate
Segment Reporting Information [Line Items]
Identifiable assets	$ 2,104.7	$ 2,551.3	$ 2,832.7
Corporate \| Shared by segments and used in operating activities
Segment Reporting Information [Line Items]
Identifiable assets	$ 261.4	$ 240.9	$ 205.8

Amount of asset recognized for present right to economic benefit.

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