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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
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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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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5047-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -URI http://asc.fasb.org/extlink&oid=122041274&loc=d3e301413-122809 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition The number of equity-based payment instruments, excluding stock (or unit) options, that were forfeited during the reporting period. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iv)(3) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(1) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(1) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition The number of non-vested equity-based payment instruments, excluding stock (or unit) options, that validly exist and are outstanding as of the balance sheet date. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(i)-(ii) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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