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Stock-Based Employee Benefit Plans - Assumptions Used to Estimate Fair Value of Stock Options (Detail)
12 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]      
Average expected term (years) 5 years 4 years 10 months 4 years 2 months 4 days
Expected volatility (range), minimum 35.30% 35.30% 34.50%
Expected volatility (range), maximum 35.30% 36.40% 35.30%
Weighted average volatility 35.30% 36.00% 34.60%
Risk free interest rate, minimum 2.02% 1.21% 1.33%
Risk free interest rate, maximum 2.02% 1.49% 1.48%
Average expected dividend yield 0.07% 0.09% 0.14%
Expected dividend yield (range), minimum 0.07% 0.09% 0.11%
Expected dividend yield (range), maximum 0.07% 0.10% 0.14%