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Income Taxes - Narrative (Details) - USD ($)
$ / shares in Units, $ in Thousands
 12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Operating Loss Carryforwards [Line Items]        
Income Tax Holiday, Aggregate Dollar Amount $ 9,400 $ 7,200 $ 6,000  
Income Tax Holiday, Income Tax Benefits Per Share $ 0.16 $ 0.12 $ 0.10  
Deferred Tax Assets, Operating Loss Carryforwards $ 47,028 $ 34,787    
Deferred Tax Assets, Tax Credit Carryforwards 27,398 25,052    
Valuation Allowance, Deferred Tax Asset, Change in Amount (5,400) (4,300)    
Unrecognized Tax Benefits 86,597 86,877 $ 79,167 $ 66,840
Unrecognized Tax Benefits that Would Impact Effective Tax Rate 54,700 56,200 51,200  
Unrecognized Tax Benefits, Period Increase (Decrease) 900 5,600 $ 3,300  
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued 12,700 $ 11,800    
Foreign [Member]        
Operating Loss Carryforwards [Line Items]        
Deferred Tax Assets, Operating Loss Carryforwards, Not Subject to Expiration 53,200      
Deferred Tax Assets, Tax Credit Carryforwards, Subject to Expiration 2,500      
Domestic Tax Jurisdiction [Member]        
Operating Loss Carryforwards [Line Items]        
Deferred Tax Assets, Operating Loss Carryforwards, Not Subject to Expiration 107,700      
Deferred Tax Assets, Operating Loss Carryforwards, Subject to Expiration 15,200      
Deferred Tax Assets, Operating Loss Carryforwards 122,900      
Deferred Tax Assets, Tax Credit Carryforwards, Subject to Expiration 4,100      
State and Local Jurisdiction [Member]        
Operating Loss Carryforwards [Line Items]        
Deferred Tax Assets, Operating Loss Carryforwards, Not Subject to Expiration 92,000      
Deferred Tax Assets, Operating Loss Carryforwards, Subject to Expiration 168,800      
Deferred Tax Assets, Operating Loss Carryforwards 260,800      
Deferred Tax Assets, Tax Credit Carryforwards 37,600      
Deferred Tax Assets, Tax Credit Carryforwards, Subject to Expiration $ 3,200