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Compensation Related Costs, Postemployment Benefits (Details) - USD ($) | 12 Months Ended |
--- | --- | ---
Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
Defined Contribution Plan, Cost | $ 1,100,000 | $ 1,000,000.0 | $ 800,000 |
Share-Based Compensation Arrangement by Share-Based Payment Award, Purchase Price of Common Stock, Percent | 85.00% |  |  |
Employee Stock Purchase Plan, Maximum Percent of Annual Compensation | 15.00% |  |  |
Fair Market Value Of Common Stock Available For Purchase To Eligible Employees Maximum | $ 25,000 |  |  |
Stock Issued During Period, Shares, Employee Stock Purchase Plans | 6,941 |  |  |
Stock-based compensation expense | $ 5,300,000 | 4,300,000 | 3,300,000 |
Stock Issued During Period, Value, Employee Stock Purchase Plan | 200,000 |  |  |
Restricted Stock Units (RSUs) [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Fair Value | 10,500,000 | 3,500,000 | 2,500,000 |
Stock-based compensation expense | 5,300,000 | $ 4,300,000 | $ 3,300,000 |
Share-based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount | $ 10,600,000 |  |  |
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition | 2 years 6 months |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number, Beginning Balance | 885,094 | 621,951 | 387,154 |
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number, Ending Balance | 715,875 | 885,094 | 621,951 |
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value | $ 21.63 | $ 16.63 | $ 18.94 | $ 20.70
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period | 178,035 | 511,698 | 394,786 |
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value | $ 37.94 | $ 14.76 | $ 17.76 |
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period | (293,253) | (186,812) | (123,389) |
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Weighted Average Grant Date Fair Value | $ 17.07 | $ 18.88 | $ 19.98 |
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Forfeited in Period | (54,001) | (61,743) | (36,600) |
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Forfeitures, Weighted Average Grant Date Fair Value | $ 18.18 | $ 17.63 | $ 19.98 |
Employee Stock |  |  |  |
Common Stock, Capital Shares Reserved for Future Issuance | 2.5 |  |  |
Minimum | Restricted Stock Units (RSUs) [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period | 3 years |  |  |
Maximum | Restricted Stock Units (RSUs) [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period | 5 years |  |  |

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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://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(01) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition Per share or unit weighted-average fair value of nonvested award under share-based payment arrangement. Excludes share and unit options. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(2)(i) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(2)(ii) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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