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Income Taxes - Unrecognized tax benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Net changes in the liability for unrecognized tax benefits      
Balance at the beginning of the period $ 13,248 $ 16,932  
Additions (reductions) for tax positions taken in prior years   399  
Reductions for tax positions taken in prior years (80)    
Recognition of benefits from expiration of statutes (1,770) (26)  
Recognition of benefits from open years effectively settled   (5,359)  
Additions for tax positions related to the current year 713 1,302  
Additions (reductions) for tax positions related to current year acquisitions (2,169)    
Balance at the end of the period 9,942 13,248 $ 16,932
Unrecognized tax benefits from permanent tax adjustments that, if recognized, would affect the effective rate 1,800 3,700  
Unrecognized tax benefits related to settlements with taxing authorities 1,100    
Cash amounts paid for income taxes, net of refunds received $ 15,700 $ 1,600 $ 14,200