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Stock-based Compensation - Fair Values of Options, Black-Scholes Option-Pricing Model, Weighted-Average Assumptions (Detail)
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Disclosure Of Compensation Related Costs Sharebased Payments [Abstract]      
Risk-free interest rate 2.86% 2.10% 1.97%
Expected volatility 29.68% 26.43% 28.83%
Expected life (in years) 5 years 2 months 19 days 5 years 5 months 15 days 5 years 3 months 18 days
Dividend yield 0.00% 0.00% 0.00%