Income Taxes - Schedule of Income Tax Data (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2019
Components of income before income taxes:
United States	$ 885.1	$ 556.2	$ 280.8
Non-United States	641.1	579.9	620.2
Income before income taxes	1,526.2	1,136.1	901.0
Components of the income tax provision:
United States	149.6	68.1	105.6
Non-United States	190.7	96.6	112.1
State and local	25.7	13.9	16.5
Total current	366.0	178.6	234.2
Deferred:
United States	(154.7)	(32.8)	(27.0)
Non-United States	(19.0)	(24.7)	(0.1)
State and local	(10.4)	(8.2)	(1.9)
Total deferred	(184.1)	(65.7)	(29.0)
Income tax provision	181.9	112.9	205.2
Total income taxes paid	$ 329.3	$ 187.9	$ 293.3