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Stock Option and Incentive Plan - Additional Information (Detail) - USD ($) shares in Thousands, $ in Thousands | 12 Months Ended |
--- | --- | ---
Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020 | Sep. 30, 2019
Awards granted under the Equity Incentive Plan |  |  |  |
Maximum number of shares authorized to be granted | 70,550 | 70,550 | 70,550 | 67,550
Stock option awards, term | 10 years |  |  |
Total intrinsic value of options exercised | $ 33,096 | $ 27,023 | $ 31,220 |
Aggregate intrinsic value of stock options outstanding | 40,985 |  |  |
Aggregate intrinsic value of stock options exercisable | 29,208 |  |  |
Unrecognized compensation expense | $ 65,513 |  |  |
Unrecognized compensation expense period for recognition | 1 year |  |  |
Restricted Stock [Member] |  |  |  |
Awards granted under the Equity Incentive Plan |  |  |  |
Value of restricted shares vested | $ 40,615 | 25,400 | 25,520 |
Restricted Stock Units (RSUs) [Member] |  |  |  |
Awards granted under the Equity Incentive Plan |  |  |  |
Value of restricted shares vested | $ 5,891 | $ 3,282 | $ 3,207 |
Minimum [Member] |  |  |  |
Awards granted under the Equity Incentive Plan |  |  |  |
Awards granted under the Equity Incentive Plan, vesting period | 3 years |  |  |
Maximum [Member] |  |  |  |
Awards granted under the Equity Incentive Plan |  |  |  |
Awards granted under the Equity Incentive Plan, vesting period | 4 years |  |  |

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- Definition Amount of cost not yet recognized for nonvested award under share-based payment arrangement. + 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 (i) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. + 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 (i) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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