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Debt - Convertible Senior Notes Due 2029 (Details) |  |  |  | 1 Months Ended | 12 Months Ended
--- | --- | --- | --- | --- | ---
Dec. 12, 2022 day $ / shares | May 14, 2018 USD ($) $ / shares | Jul. 05, 2017 USD ($) | Dec. 31, 2022 USD ($) | Sep. 30, 2024 USD ($) | Sep. 30, 2023 USD ($) | Sep. 30, 2022 USD ($)
Debt Instrument [Line Items] |  |  |  |  |  |  |
Net loss on extinguishment of debt |  |  |  | $ 3,500,000 | $ 0 | $ 3,545,000 | $ 0
2029 Convertible Notes | Common Class A |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |
Conversion rate per $1,000 principal amount (in shares) |  |  |  | 0.0890313 |  |  |
2029 Convertible Notes | Senior Notes |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |
Stated interest rate |  |  |  | 3.75% |  |  |
Debt instrument, face amount |  |  |  | $ 230,000,000 |  |  |
Interest rate, effective percentage |  |  |  |  | 4.28% |  |
Conversion price, per share (in dollars per share) | $ / shares | $ 11.23 |  |  |  |  |  |
Debt instrument, unamortized discount |  |  |  |  | $ 5,700,000 |  |
2029 Convertible Notes | Senior Notes | Debt Conversion, Condition One |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |
Threshold trading days (whether or not consecutive) | day | 20 |  |  |  |  |  |
Threshold consecutive trading days | day | 30 |  |  |  |  |  |
Threshold percentage of stock price trigger | 130.00% |  |  |  |  |  |
2029 Convertible Notes | Senior Notes | Debt Conversion, Condition One | Debt Instrument, Redemption, Period One |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |
Threshold trading days (whether or not consecutive) | day | 20 |  |  |  |  |  |
Threshold consecutive trading days | day | 30 |  |  |  |  |  |
Threshold percentage of stock price trigger | 130.00% |  |  |  |  |  |
Repurchase price, percent of principal amount | 100.00% |  |  |  |  |  |
2029 Convertible Notes | Senior Notes | Debt Conversion, Condition Two |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |
Threshold consecutive trading days | day | 5 |  |  |  |  |  |
Threshold percentage of stock price trigger | 98.00% |  |  |  |  |  |
Business day threshold | day | 5 |  |  |  |  |  |
2024 Convertible Notes | Senior Notes |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |
Stated interest rate |  |  | 2.875% |  |  |  |
Debt instrument, face amount |  |  | $ 143,750,000 |  |  |  |
Conversion rate per $1,000 principal amount (in shares) |  |  | 0.1 |  |  |  |
Net loss on extinguishment of debt |  |  |  |  | $ 0 | 8,935,000 | 0
2024 Convertible Notes | Notes Repurchases |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |
Repurchased principal amount |  |  |  | 109,400,000 |  |  |
Repurchased amount |  |  |  | 117,500,000 |  |  |
2025 Convertible Notes | Senior Notes |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |
Stated interest rate |  | 2.375% |  |  |  |  |
Debt instrument, face amount |  | $ 172,500,000 |  |  |  |  |
Interest rate, effective percentage |  |  |  |  | 2.88% |  |
Conversion rate per $1,000 principal amount (in shares) |  | 0.0628931 |  |  |  |  |
Conversion price, per share (in dollars per share) | $ / shares |  | $ 15.90 |  |  |  |  |
Net loss on extinguishment of debt |  |  |  |  | $ 0 | $ (5,389,000) | $ 0
2025 Convertible Notes | Notes Repurchases |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |
Repurchased principal amount |  |  |  | 69,100,000 |  |  |
Repurchased amount |  |  |  | $ 62,900,000 |  |  |

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