Income Taxes - Schedule of Income Tax Data (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Components of Income before income taxes
United States	$ 371.3	$ 885.1	$ 556.2
Non-United States	702.3	641.1	579.9
Income before income taxes	1,073.6	1,526.2	1,136.1
Components of Income tax provision
United States	71.6	149.6	68.1
Non-United States	102.9	190.7	96.6
State and local	13.6	25.7	13.9
Total current	188.1	366.0	178.6
Deferred
United States	(10.7)	(154.7)	(32.8)
Non-United States	(13.0)	(19.0)	(24.7)
State and local	(9.9)	(10.4)	(8.2)
Total deferred	(33.6)	(184.1)	(65.7)
Income tax provision	154.5	181.9	112.9
Total income taxes paid	$ 340.2	$ 329.3	$ 187.9