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Summary of Significant Accounting Policies - Valuation Assumptions for an Employee Stock Purchase Plan (Details) - Employee Stock
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]      
Risk-free interest rate (as a percent) 1.90% 0.90% 0.40%
Volatility (as a percent) 46.00% 34.00% 32.00%
Expected life 6 months 6 months 6 months
Dividend yield (as a percent) 1.50% 3.40% 3.40%