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Fair Value Measurements (Details) - USD ($)
$ in Thousands
Mar. 31, 2023
Sep. 30, 2022
Assets:    
Cash and cash equivalents $ 152,039 $ 101,954
Short-term investments 11,085 14,554
Other assets 8,404 7,730
Liabilities:    
Deferred compensation 9,098 7,714
Quoted Prices in Active Markets for Identical Assets (Level 1)    
Assets:    
Cash and cash equivalents 152,039 101,954
Short-term investments 11,085 14,554
Other assets 0 0
Liabilities:    
Deferred compensation 0 0
Significant Other Observable Inputs (Level 2)    
Assets:    
Cash and cash equivalents 0 0
Short-term investments 0 0
Other assets 8,404 7,730
Liabilities:    
Deferred compensation 9,098 7,714
Significant Unobservable Inputs (Level 3)    
Assets:    
Cash and cash equivalents 0 0
Short-term investments 0 0
Other assets 0 0
Liabilities:    
Deferred compensation $ 0 $ 0