Business Segment and Geographic Information (Reconciliation of Operating Income) (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
Sep. 30, 2024	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Segment Reporting Information [Line Items]
Gain on sale of business	$ 1,575.6	$ 1,575.6	$ 0.0	$ 0.0
Business and asset actions		(57.0)	(244.6)	(73.7)
Operating income		4,466.1	2,494.6	2,338.8
Segment Reconciling Items
Segment Reporting Information [Line Items]
Gain on sale of business		1,575.6	0.0	0.0
Business and asset actions		(57.0)	(244.6)	(73.7)
Segment Total
Segment Reporting Information [Line Items]
Operating income		$ 2,947.5	$ 2,739.2	$ 2,412.5

Amount of gain (loss) from sale and disposal of integrated set of activities and assets capable of being conducted and managed for purpose of providing return in form of dividend, lower cost, or other economic benefit to investor, owner, member and participant.

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