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Stock-Based Compensation Plans - Assumptions Used in Stock Option Plans (Detail)
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Disclosure Of Compensation Related Costs Sharebased Payments [Abstract]      
Risk-free interest rates 2.18% 1.74% 1.89%
Expected life 4 years 9 months 18 days 4 years 7 months 6 days 4 years 7 months 6 days
Expected volatility 33.00% 34.00% 37.00%
Dividend yield 0.00% 0.00% 0.00%