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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, 2021
Sep. 30, 2020
Sep. 30, 2019
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]      
Risk-free interest rate (as a percent) 0.30% 0.90% 2.30%
Volatility (as a percent) 53.00% 58.00% 52.00%
Expected life 6 months 6 months 6 months
Dividend yield (as a percent) 0.60% 1.10% 1.20%