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Stock-Based Compensation Stock-Based Compensation - Weighted Average Assumptions Used to Calculate Fair Value of Stock Options Granted and Unvested Options Assumed from Acquisitions (Details)
12 Months Ended
Sep. 30, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Expected volatility 27.30%
TSRs [Member]  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Dividend yield 0.00%