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Income Taxes (Narrative) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Income Taxes [Line Items]        
Statutory tax rate 21.00% 21.00% 21.00%  
Net operating loss deferred tax asset, foreign $ 3,748 $ 3,449    
Tax credits and incentives 28,319 25,623    
Undistributed foreign earnings not provided for taxes 273,200      
Unrecognized tax benefits that, if recognized, would affect the effective tax rate 6,963 $ 8,092    
Possible decrease in unrecognized tax benefits liability 2,478      
Booking of associated net deferred tax liability $ 12,800      
Domestic Tax Authority [Member]        
Income Taxes [Line Items]        
Year remaining open to tax examination       2020
Foreign Jurisdiction [Member]        
Income Taxes [Line Items]        
Year remaining open to tax examination       2018
State and Local Jurisdiction [Member]        
Income Taxes [Line Items]        
Year remaining open to tax examination       2019