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Stockholders' Equity (Changes in Non-vested Stock Options) (Details) - Stock Options [Member] - $ / shares shares in Thousands | 12 Months Ended
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Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020
Share Based Compensation Arrangement By Share Based Payment Award [Line Items] |  |  |
Number of Options, beginning balance | 2,063 |  |
Options granted, Number of options | 514 |  |
Options vested, Number of options | (721) |  |
Options forfeited, Number of options | (44) |  |
Number of Options, ending balance | 1,812 | 2,063 |
Weighted-Average Grant Date Fair Value Per Share, beginning balance | $ 25.77 |  |
Options granted, Weighted-Average Grant Date Fair Value Per Share | 41.78 | $ 28.22 | $ 25.41
Options vested, Weighted-Average Grant Date Fair Value Per Share | 26.25 |  |
Options forfeited, Weighted-Average Grant Date Fair Value Per Share | 29.53 |  |
Weighted-Average Grant Date Fair Value Per Share, ending balance | $ 30.03 | $ 25.77 |

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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + 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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