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Stock-Based Compensation - Performance-Based Restricted Stock Unit Grants (Details) | 9 Months Ended | 12 Months Ended
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Jun. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020
Disclosure of Compensation Related Costs, Share-based Payments [Abstract] |  |  |
Performance-based awards granted, percentage (as a percent) | 100.00% | 100.00% | 100.00%
Performance-based awards granted, percentage, maximum threshold met (as a percent) | 200.00% | 200.00% | 200.00%
Performance goal measurement period (in years) | 3 years |  |

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- Definition Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Percentage of Performance-based Units Awarded, Financial Metric, Maximum Threshold Met. + References No definition available. + Details
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- Definition Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Percentage of Performance-based Units Awarded, Financial Metric Target Met. + References No definition available. + Details
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