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Fair Value Measurements (Details) - USD ($)
$ in Thousands
Jun. 30, 2024
Sep. 30, 2023
Assets:    
Cash and cash equivalents $ 332,012 $ 245,875
Short-term investments 42,033 33,134
Liabilities:    
Deferred compensation 11,436 9,145
Rabbi trust assets    
Assets:    
Rabbi trust assets 11,764 9,117
Quoted Prices in Active Markets for Identical Assets (Level 1)    
Assets:    
Cash and cash equivalents 332,012 245,875
Short-term investments 42,033 33,134
Liabilities:    
Deferred compensation 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Rabbi trust assets    
Assets:    
Rabbi trust assets 0 0
Significant Other Observable Inputs (Level 2)    
Assets:    
Cash and cash equivalents 0 0
Short-term investments 0 0
Liabilities:    
Deferred compensation 11,436 9,145
Significant Other Observable Inputs (Level 2) | Rabbi trust assets    
Assets:    
Rabbi trust assets 11,764 9,117
Significant Unobservable Inputs (Level 3)    
Assets:    
Cash and cash equivalents 0 0
Short-term investments 0 0
Liabilities:    
Deferred compensation 0 0
Significant Unobservable Inputs (Level 3) | Rabbi trust assets    
Assets:    
Rabbi trust assets $ 0 $ 0