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Employee Benefit Plans (Details) $ / shares in Units, $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Mar. 31, 2022 USD ($) grant_recipient $ / shares shares | Dec. 31, 2021 $ / shares shares | Mar. 31, 2021 USD ($) | Mar. 31, 2022 USD ($) | Mar. 31, 2021 USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Share-based Payment Arrangement, Noncash Expense |  |  |  | $ 54.6 | $ 47.1
Performance Shares [Member] | October Two Thousand Twenty One Grant |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
RSUs granted in the period | shares | 430,000 | 390,000 |  |  |
Award vesting period | 3 years |  |  |  |
Fair value of equity awards on the date of grant (in US$ per unit) | $ / shares |  | $ 80.58 |  |  |
Share-based Payment Arrangement, Noncash Expense | $ 4.1 |  |  | 8.3 |
Performance Shares [Member] | October Two Thousand Twenty One Grant | Minimum [Member] |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Percentage of total units granted that vest in the period | 0.00% |  |  |  |
Performance Shares [Member] | October Two Thousand Twenty One Grant | Maximum [Member] |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Percentage of total units granted that vest in the period | 200.00% |  |  |  |
Restricted Stock [Member] |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Share-based Payment Arrangement, Noncash Expense | $ 28.9 |  | $ 24.0 | 50.9 | $ 45.2
Restricted Stock [Member] | March Two Thousand Twenty Two Grant |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
RSUs granted in the period | shares | 1,200,000 |  |  |  |
Fair value of equity awards on the date of grant (in US$ per unit) | $ / shares | $ 74.96 |  |  |  |
Share-based Payment Arrangement, Noncash Expense | $ 8.5 |  |  | $ 8.5 |
RSU Grant Recipients | grant_recipient | 1,200 |  |  |  |

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- Definition Amount of noncash expense for share-based payment arrangement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=123570139&loc=d3e3602-108585 + Details
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- Definition Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition. + 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 (a)(1) -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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