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Employee Benefit Plans - Time-Based Restricted Stock Unit Equity Awards (Details) - Restricted Stock Units (RSUs) [Member] $ / shares in Units, $ in Millions	12 Months Ended
	Sep. 30, 2021 USD ($) grant_recipient $ / shares shares	Sep. 30, 2020 USD ($) grant_recipient $ / shares shares	Sep. 30, 2019 USD ($) grant_recipient $ / shares shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested in Period, Fair Value | $	$ 131.3	$ 95.6	$ 56.9
Number of Restricted Stock Units
Outstanding at beginning of year, shares | shares	4,725,701	4,889,534	4,797,922
Granted, shares | shares	856,615	1,657,935	1,796,200
Vested, shares | shares	(1,644,263)	(1,651,840)	(1,430,826)
Cancelled, shares | shares	(120,788)	(169,928)	(273,762)
Outstanding at end of year, shares | shares	3,817,265	4,725,701	4,889,534
Weighted Average Grant Date Fair Value
Outstanding at beginning of year, weighted average grant date fair value, per share | $ / shares	$ 34.79	$ 33.01	$ 31.77
Granted, weighted average grant date fair value, per share | $ / shares	83.13	35.98	33.75
Vested, weighted average grant date fair value, per share | $ / shares	33.26	30.85	29.83
Cancelled, weighted average grant date fair value, per share | $ / shares	39.16	33.24	32.82
Outstanding at end of year, weighted average grant date fair value, per share | $ / shares	$ 46.16	$ 34.79	$ 33.01
Additional information - restricted stock units
Share-based compensation expense | $	$ 56.5	$ 50.6	$ 51.8
Unrecognized compensation expense | $	$ 130.3
Weighted average period over which unrecognized compensation cost is expected to be recognized	2 years 7 months 6 days
Maximum [Member]
Additional information - restricted stock units
Vesting period	5 years
Minimum [Member]
Additional information - restricted stock units
Vesting period	3 years
Fiscal 2021 Grant
Additional information - restricted stock units
RSU grant recipients | grant_recipient	1,030
Fiscal 2020 Grant [Member]
Additional information - restricted stock units
RSU grant recipients | grant_recipient		960
Fiscal 2019 Grant [Member]
Additional information - restricted stock units
RSU grant recipients | grant_recipient			900

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The number of recipients of a share-based compensation grant.

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Per share or unit weighted-average fair value of nonvested award under share-based payment arrangement. Excludes share and unit options.

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Fair value of share-based awards for which the grantee gained the right by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash.

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