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Stock-Based Compensation - Schedule of Exercise Price for Stock Options Outstanding and Exercisable (Details) - $ / shares | Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022
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Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding (in shares) | 60,000 | 53,750 | 87,500
Option exercise price outstanding (in usd per share) | $ 26.04 | $ 21.51 | $ 18.81
Number of options exercisable (in shares) | 60,000 | 53,750 |
Option exercise price exercisable (in usd per share) | $ 26.04 | $ 21.51 |
$10.00 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding (in shares) | 25,000 |  |
Option exercise price outstanding (in usd per share) | $ 10.00 |  |
Number of options exercisable (in shares) | 25,000 |  |
Option exercise price exercisable (in usd per share) | $ 10.00 |  |
$31.74 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding (in shares) | 17,500 |  |
Option exercise price outstanding (in usd per share) | $ 35.00 |  |
Number of options exercisable (in shares) | 17,500 |  |
Option exercise price exercisable (in usd per share) | $ 35.00 |  |
$40.00 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding (in shares) | 17,500 |  |
Option exercise price outstanding (in usd per share) | $ 40.00 |  |
Number of options exercisable (in shares) | 17,500 |  |
Option exercise price exercisable (in usd per share) | $ 40.00 |  |

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- Definition The number of shares into which fully or partially vested stock options outstanding as of the balance sheet date can be currently converted under the option 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)(1)(iii) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition The weighted-average price as of the balance sheet date at which grantees can acquire the shares reserved for issuance on vested portions of options outstanding and currently exercisable under the stock option 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)(1)(iii) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition Number of options outstanding, including both vested and non-vested 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)(1)(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)(1)(ii) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition Weighted average price at which grantees can acquire the shares reserved for issuance under the stock option 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)(1)(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)(1)(ii) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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