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Income Taxes - Additional Information (Details) - USD ($)
3 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Tax Credit Carryforward [Line Items]      
One-time tax benefit $ 13,400,000    
Valuation allowance 0    
Unrecognized tax benefits that would impact tax expense 10,700,000    
Uncertain tax positions, interest and penalties 300,000 $ 500,000 $ 100,000
Interest and penalties accrued 1,400,000 $ 1,100,000 $ 600,000
Internal Revenue Service (IRS)      
Tax Credit Carryforward [Line Items]      
Net operating loss 6,600,000    
State and Local Jurisdiction      
Tax Credit Carryforward [Line Items]      
Net operating loss 6,100,000    
Research Tax Credit Carryforward | Internal Revenue Service (IRS)      
Tax Credit Carryforward [Line Items]      
Tax credit carryforward amount 2,400,000    
Research Tax Credit Carryforward | State and Local Jurisdiction      
Tax Credit Carryforward [Line Items]      
Tax credit carryforward amount $ 8,800,000