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Stockholders' Equity - Accumulated Other Comprehensive Income (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]      
Beginning Balance $ 607,644 $ 553,690 $ 632,045
Ending Balance 717,832 607,644 553,690
Accumulated Other Comprehensive Income (Loss)      
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]      
Beginning Balance 15,213 15,166 5,898
Other comprehensive (loss) income before reclassifications (1,637) 283 8,291
Amounts reclassified from accumulated other comprehensive income 11 (236) 977
Ending Balance 13,587 15,213 15,166
Currency Translation Adjustments      
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]      
Beginning Balance 15,168 15,389 6,545
Other comprehensive (loss) income before reclassifications (1,651) (221) 8,844
Ending Balance 13,517 15,168 15,389
Unrealized Gains (Losses) on Available-for-Sale Securities      
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]      
Beginning Balance (1) (3) 103
Other comprehensive (loss) income before reclassifications (110) (10) (231)
Amounts reclassified from accumulated other comprehensive income (1) 12 125
Ending Balance (112) (1) (3)
Pension Liability Adjustments      
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]      
Beginning Balance 46 (220) (750)
Other comprehensive (loss) income before reclassifications 124 514 (322)
Amounts reclassified from accumulated other comprehensive income 12 (248) 852
Ending Balance $ 182 $ 46 $ (220)