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Stock-Based Compensation - Summary of Exercise Price for Stock Options Outstanding and Exercisable (Details) - $ / shares | Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2017
--- | --- | --- | ---
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding | 200,418 | 231,668 | 211,668
Option exercise price outstanding | $ 16.05 | $ 14.84 | $ 13.19
Number of options exercisable | 168,084 | 175,000 |
Option exercise price exercisable | $ 13.92 | $ 11.89 |
$7.50 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding | 25,000 |  |
Option exercise price outstanding | $ 7.50 |  |
Number of options exercisable | 25,000 |  |
Option exercise price exercisable | $ 7.50 |  |
$10.00 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding | 31,250 |  |
Option exercise price outstanding | $ 10.00 |  |
Number of options exercisable | 31,250 |  |
Option exercise price exercisable | $ 10.00 |  |
$10.86 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding | 16,668 |  |
Option exercise price outstanding | $ 10.86 |  |
Number of options exercisable | 8,334 |  |
Option exercise price exercisable | $ 10.86 |  |
$12.50 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding | 6,250 |  |
Option exercise price outstanding | $ 12.50 |  |
Number of options exercisable | 6,250 |  |
Option exercise price exercisable | $ 12.50 |  |
$15.00 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding | 6,250 |  |
Option exercise price outstanding | $ 15.00 |  |
Number of options exercisable | 6,250 |  |
Option exercise price exercisable | $ 15.00 |  |
$15.18 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding | 75,000 |  |
Option exercise price outstanding | $ 15.18 |  |
Number of options exercisable | 75,000 |  |
Option exercise price exercisable | $ 15.18 |  |
$23.41 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding | 8,000 |  |
Option exercise price outstanding | $ 23.41 |  |
Number of options exercisable | 8,000 |  |
Option exercise price exercisable | $ 23.41 |  |
$27.60 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding | 8,000 |  |
Option exercise price outstanding | $ 27.60 |  |
Number of options exercisable | 8,000 |  |
Option exercise price exercisable | $ 27.60 |  |
$31.74 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding | 8,000 |  |
Option exercise price outstanding | $ 31.74 |  |
$36.50 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding | 8,000 |  |
Option exercise price outstanding | $ 36.50 |  |
$41.98 |  |  |
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items] |  |  |
Number of options outstanding | 8,000 |  |
Option exercise price outstanding | $ 41.98 |  |

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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://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iii) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + 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://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iii) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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- Definition Number of options outstanding, including both vested and non-vested options. + 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 -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(i)-(ii) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + 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://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(i) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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