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Income Taxes - Unrecognized tax benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Net changes in the liability for unrecognized tax benefits      
Balance at beginning of year $ 18,575 $ 9,942  
Reductions for tax positions taken in prior years (8,794)    
Additions for tax positions taken in prior years   8,458  
Recognition of benefits from expiration of statutes (904) (776)  
Additions for tax positions related to the current year 890 951  
Balance at end of year 9,767 18,575 $ 9,942
Unrecognized tax benefits from permanent tax adjustments that, if recognized, would affect the effective rate 500 700  
Cash amounts paid for income taxes, net of refunds received $ 16,600 $ 28,700 $ 15,700