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Stockholders' Equity - Additional Information (Details) - USD ($) | 12 Months Ended
--- | ---
Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020
Class of Stock [Line Items] |  |  |
Preferred stock, shares authorized | 5,000,000 | 5,000,000 |
Common stock, shares authorized | 500,000,000 | 500,000,000 |
Stock repurchased during period (in shares) | 1,050,000.00 | 230,000 | 0
Stock repurchased during period, value | $ 125,000,000 | $ 30,000,000 |
Maximum |  |  |
Class of Stock [Line Items] |  |  |
Common stock, shares authorized | 500,000,000 |  |
Stock authorized to repurchase | $ 1,000,000,000 |  |
Series A Junior Participating Preferred Stock |  |  |
Class of Stock [Line Items] |  |  |
Preferred stock, shares authorized | 500,000 |  |

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- Definition Number of shares that have been repurchased and retired during the period. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(28)) -URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.3-04) -URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(29)) -URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section 50 -Paragraph 2 -URI https://asc.fasb.org/extlink&oid=126973232&loc=d3e21463-112644 + Details
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