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Summary of Significant Accounting Policies - Government Assistance (Details)
$ in Millions
12 Months Ended
Sep. 30, 2023
USD ($)
Government Assistance [Line Items]  
Advance in cash of government assistance received $ 6.6
Government Assistance, Amount, Cumulative [Abstract]  
Government assistance, amount, cumulative, current $ 0.6
Government Assistance, Current, Statement of Financial Position Prepaid expenses and other current assets
Other Noncurrent Liabilities  
Government Assistance [Line Items]  
Advance in cash of government assistance received $ 4.7
Accrued Expenses and Other Current Liabilities  
Government Assistance [Line Items]  
Advance in cash of government assistance received 1.9
Other Nonoperating Income (Expense)  
Government Assistance [Line Items]  
Government assistance $ 4.3
Government Assistance, Statement of Income or Comprehensive Income Other, net
Cost of Sales  
Government Assistance [Line Items]  
Government assistance $ 0.9
Government Assistance, Statement of Income or Comprehensive Income Total cost of revenue