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Stock-based Compensation - Stock Option Fair Value Assumptions and Weighted Average Fair Value of Stock Options Granted (Detail) - $ / shares
3 Months Ended 9 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2020
Jun. 30, 2019
Stock option fair value assumptions:        
Risk-free interest rates 0.30% 2.20% 1.50% 2.80%
Expected life (years) 4 years 8 months 12 days 4 years 7 months 6 days 4 years 7 months 6 days 4 years 6 months
Expected volatility 42.50% 36.00% 38.40% 33.60%
Dividend yield     0.00%  
Weighted average grant date fair value of stock options granted $ 13.00 $ 13.38 $ 14.13 $ 17.91