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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