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Share-Based Compensation - Stock Option Plan Fair Value Weighted-Average Assumptions (Details)
12 Months Ended
Sep. 30, 2019
Rate
Sep. 30, 2018
Rate
Sep. 30, 2017
Rate
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Expected Volatility Rate 27.00% 30.00% 31.00%
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Expected Dividend Rate 0.00% 0.00% 0.00%
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Risk Free Interest Rate 2.00% 1.00% 1.00%
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Expected Term 6 years 18 days 3 years 22 days 3 years 29 days