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Share-Based Compensation - Additional Information (Details) - USD ($) $ in Thousands |  |  | 6 Months Ended | 9 Months Ended |  |
--- | --- | --- | --- | --- | --- | ---
May 24, 2016 | May 22, 2007 | Jun. 30, 2022 | Sep. 30, 2022 | Sep. 30, 2021 | May 12, 2020 | May 15, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Stock authorized to be issued under plan (in shares) | 8,900,000 |  |  |  |  |  |
Total intrinsic value of options exercised during period |  |  |  | $ 6,700 | $ 15,100 |  |
Cash received from options exercised during period |  |  |  | $ 10,990 | $ 14,573 |  |
Award requisite service period |  |  |  | 1 year |  |  |
2007 Long-Term Incentive Plan |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Stock authorized to be issued under plan (in shares) | 400,000 | 3,300,000 |  |  |  |  |
Exercise price of shares granted may not be less than fair market value (percentage) |  | 100.00% |  |  |  |  |
2016 Long-Term Incentive Plan |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Stock authorized to be issued under plan (in shares) | 3,400,000 |  |  |  |  | 2,500,000 | 2,600,000
Exercise price of shares granted may not be less than fair market value (percentage) | 100.00% |  |  |  |  |  |
Performance Award |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Unrecognized pre-tax compensation cost |  |  |  | $ 2,200 |  |  |
Weighted average recognition period (in years) |  |  |  | 2 years 2 months 12 days |  |  |
Performance Award | Minimum |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Award, percent of conversion in common stock |  |  |  | 0.00% |  |  |
Performance Award | Maximum |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Award, percent of conversion in common stock |  |  |  | 200.00% |  |  |
Equity Option |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Unrecognized pre-tax compensation cost |  |  |  | $ 14,900 |  |  |
Weighted average recognition period (in years) |  |  |  | 1 year 9 months 18 days |  |  |
Restricted Stock | 2007 Long-Term Incentive Plan |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Unrecognized pre-tax compensation cost |  |  |  | $ 4,900 |  |  |
Weighted average recognition period (in years) |  |  |  | 1 year 9 months 18 days |  |  |
Key Employee Awards |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Unrecognized pre-tax compensation cost |  |  |  | $ 1,300 |  |  |
Weighted average recognition period (in years) |  |  |  | 1 year 3 months 18 days |  |  |
Employees |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Award vesting rights, percentage |  |  | 20.00% | 33.30% |  |  |

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- Definition The exercise price of granted shares may not be below this percentage of fair market value under the terms of the stock option plans. + References No definition available. + Details
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- Definition Amount of cost not yet recognized for nonvested award under share-based payment arrangement. + 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 (i) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. + 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 (i) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition Number of shares authorized for issuance under share-based payment arrangement. + 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)(3) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares. + 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 (d)(2) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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