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Stock-Based Compensation (Tables) | 6 Months Ended
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Mar. 31, 2024
Disclosure of Compensation Related Costs, Share-based Payments [Abstract] |
Summary of stock-based compensation expense | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Three Months Ended March 31, | ​ | Six Months Ended March 31,
​ |  | 2024 |  | 2023 |  | 2024 |  | 2023
Restricted stock units | ​ | $ | 5,284 | ​ | $ | 3,634 | ​ | $ | 8,134 | ​ | $ | 5,393
Employee stock purchase plan | ​ |  | 318 | ​ |  | 356 | ​ |  | 670 | ​ |  | 703
Total stock-based compensation expense | ​ | $ | 5,602 | ​ | $ | 3,990 | ​ | $ | 8,804 | ​ | $ | 6,096
Summary of restricted stock unit activity | ​
​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ |  | Weighted
​ | ​ | ​ | ​ | Average
​ | ​ | ​ | ​ | Grant-Date
​ | ​ | Shares | ​ | Fair Value
Outstanding as of September 30, 2023 |  | 718,954 | ​ | $ | 67.40
Granted |  | 608,706 | ​ | $ | 55.69
Vested |  | (174,868) | ​ | $ | 68.95
Forfeited |  | (298,806) | ​ | $ | 63.75
Outstanding as of March 31, 2024 |  | 853,986 | ​ | $ | 60.01
​
​ | ​ | ​ | ​ | ​
​ | ​ | Six Months Ended March 31,
​ |  | 2024 |  | 2023
Time-based restricted stock units | ​ | 220,174 | ​ | 356,410
Performance-based restricted stock units |  | 388,532 |  | 215,701
Total units |  | 608,706 |  | 572,111

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- Definition Tabular disclosure of cost recognized for award under share-based payment arrangement by plan. Includes, but is not limited to, related tax benefit. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition Tabular disclosure of the number and weighted-average grant date fair value for restricted stock units that were outstanding at the beginning and end of the year, and the number of restricted stock units that were granted, vested, or forfeited during the year. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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