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Business Segment Information - Narrative (Details) $ in Millions	3 Months Ended		12 Months Ended
	Dec. 31, 2021 USD ($)	Dec. 31, 2020 USD ($)	Sep. 30, 2022 USD ($) segment	Sep. 30, 2021 USD ($)	Sep. 30, 2020 USD ($)
Segment Reporting Information [Line Items]
Number of operating segments \| segment			3
Gain (loss) related to litigation settlement	$ 70.0	$ 70.0
Identifiable assets			$ 10,758.7	$ 10,701.6	$ 7,264.7
Sales			7,760.4	6,997.4	6,329.8
Intelligent Devices
Segment Reporting Information [Line Items]
Sales			3,544.6	3,311.9
U.S. Plans
Segment Reporting Information [Line Items]
Sales			$ 4,315.5	$ 3,740.2	$ 3,425.1
Customer Concentration Risk \| Revenue from Contract with Customer Benchmark \| Systems And Services
Segment Reporting Information [Line Items]
Portion of total sales from individual segment			10.00%	10.00%	10.00%
Corporate
Segment Reporting Information [Line Items]
Identifiable assets			$ 2,832.7	$ 2,433.6	$ 2,692.0
Corporate \| Shared by segments and used in operating activities
Segment Reporting Information [Line Items]
Identifiable assets			$ 205.8	$ 275.8	$ 247.3