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Share-Based Compensation - Stock Option Plan Fair Value Weighted-Average Assumptions (Details) - shares
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Share-based Payment Arrangement [Abstract]      
Expected stock price volatility 0.00% 27.00% 30.00%
Expected dividend yield 0.00% 0.00% 0.00%
Risk free interest rate 0.00% 1.86% 1.23%
Average expected life 0 years 6 years 18 days 3 years 21 days
Stock options granted (in shares) 0