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Share-Based Compensation - Stock Options Activity (Details) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended
--- | ---
Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020
Shares Available for Grant |  |  |
Shares available for grant, beginning (in shares) | 1,569,798 |  |
Shares available for grant, Additional shares authorized by shareholders (in shares) |  |  |
Shares available for grant, Stock options granted (in shares) | (240,500) |  | 0
Shares available for grant, stock options forfeited in period (in shares) | 43,389 |  |
Shares available for grant, stock options expired in period (in shares) | 15,010 |  |
Shares available for grant, ending (in shares) | 1,387,697 | 1,569,798 |
Number of Options Outstanding |  |  |
Number of options outstanding, beginning (in shares) | 1,229,600 |  |
Number of options outstanding, granted (in shares) | 240,500 |  | 0
Number of options outstanding, exercised (in shares) | (212,356) |  |
Number of options outstanding, forfeited (in shares) | (43,389) |  |
Number of options outstanding, expired (in shares) | (15,010) |  |
Number of options outstanding, ending (in shares) | 1,199,345 | 1,229,600 |
Number of options outstanding, exercisable (in shares) | 233,655 |  |
Weighted Average Exercise Price |  |  |
Weighted average exercise price, beginning (in dollar per share) | $ 45.17 |  |
Weighted average exercise price, granted (in dollar per share) | 62.04 |  |
Weighted average exercise price, exercised (in dollar per share) | 31.31 |  |
Weighted average exercise price, forfeited (in dollar per share) | 59.89 |  |
Weighted average exercise price, expired (in dollar per share) | 46.39 |  |
Weighted average exercise price, ending (in dollar per share) | 50.46 | $ 45.17 |
Weighted average exercise price, exercisable (in dollar per share) | 46.14 |  |
Weighted Average Grant Date Fair Value |  |  |
Weighted average grant date fair value, beginning (in dollar per share) | 12.82 |  |
Weighted average grant date fair value, granted (in dollar per share) | 22.82 | 19.83 | $ 0.00
Weighted average grant date fair value, exercised (in dollar per share) | 12.72 |  |
Weighted average grant date fair value, forfeited (in dollar per share) | 21.65 |  |
Weighted average grant date fair value, expired (in dollar per share) | 10.69 |  |
Weighted average grant date fair value, ending (in dollar per share) | 14.57 | $ 12.82 |
Weighted average grant date fair value, exercisable (in dollar per share) | $ 11.78 |  |
Stock Option Activity, Additional Disclosures |  |  |
Weighted average remaining term (in years) | 4 years 6 months 14 days | 4 years 2 months 15 days |
Weighted average remaining term (in years), exercisable | 3 years 3 months 29 days |  |
Aggregate intrinsic value | $ 39.0 | $ 25.5 |
Aggregate intrinsic value, exercisable | $ 8.6 |  |

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- Definition The weighted average grant-date fair value of options exercisable as calculated by applying the disclosed option pricing methodology. + References No definition available. + Details
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- Definition The weighted average grant-date fair value of options exercised during the reporting period as calculated by applying the disclosed option pricing methodology. + References No definition available. + Details
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- Definition The weighted average grant-date fair value of options expired during the reporting period as calculated by applying the disclosed option pricing methodology. + References No definition available. + Details
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- Definition The weighted average grant-date fair value of options forfeited during the reporting period as calculated by applying the disclosed option pricing methodology. + References No definition available. + Details
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- Definition The weighted average grant-date fair value of options outstanding as calculated by applying the disclosed option pricing methodology. + References No definition available. + Details
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- Definition Number of additional shares authorized for issuance under share-based payment arrangement. + References No definition available. + Details
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- Definition The difference between the maximum number of shares (or other type of equity) authorized for issuance under the plan (including the effects of amendments and adjustments), and the sum of: 1) the number of shares (or other type of equity) already issued upon exercise of options or other equity-based awards under the plan; and 2) shares (or other type of equity) reserved for issuance on granting of outstanding awards, net of cancellations and forfeitures, if applicable. + 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 https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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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 -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iii) -URI https://asc.fasb.org/extlink&oid=128089324&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://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iii) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Number of options or other stock instruments for which the right to exercise has lapsed under the terms of the plan agreements. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iv)(04) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition The number of shares under options that were cancelled during the reporting period as a result of occurrence of a terminating event specified in contractual agreements pertaining to the stock option plan. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iv)(03) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Gross number of share options (or share units) granted during the period. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iv)(01) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d)(1) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition The addition or reduction in the number of reserved shares that could potentially be issued under the option plan attributable to reasons other than grants, exercises, forfeitures, and expirations during the reporting period. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iv) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Amount by which the current fair value of the underlying stock exceeds the exercise price of options outstanding. + 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 https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + 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 -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(ii) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(i) -URI https://asc.fasb.org/extlink&oid=128089324&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://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(ii) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(i) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Weighted average price at which option holders acquired shares when converting their stock options into shares. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iv)(02) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Weighted average price at which grantees could have acquired the underlying shares with respect to stock options of the plan that expired. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iv)(04) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Weighted average price at which grantees could have acquired the underlying shares with respect to stock options that were terminated. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iv)(03) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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