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Stock-Based Compensation Stock-Based Compensation - Weighted Average Assumptions Used to Estimate Fair Value of Purchase Rights Ganted (Details) - 1995 Employee Stock Purchase Plan
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Dividend yield 0.00% 0.00% 0.00%
Expected volatility 27.80% 32.10% 29.30%
Average risk-free interest rate 2.20% 2.00% 0.90%
Expected term (in years) 15 days 15 days 15 days