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Accelerated Share Repurchase (Details) - USD ($) $ in Thousands |  | 1 Months Ended | 3 Months Ended | 12 Months Ended
--- | --- | --- | --- | ---
Jun. 17, 2021 | Aug. 31, 2021 | Jun. 30, 2021 | Sep. 30, 2021 | Sep. 30, 2020 | Sep. 30, 2019
Equity, Class of Treasury Stock [Line Items] |  |  |  |  |  |
Payments for Repurchase of Common Stock |  |  |  | $ 874,179 | $ 235,223 | $ 228,894
Accelerated Share Repurchase Agreement Percentage | 80.00% |  |  |  |  |
Accelerated Share Repurchases Agreement Amount | $ 200,000 |  |  |  |  |
June17 2021 Accelerated share repurchase agreement |  |  |  |  |  |
Equity, Class of Treasury Stock [Line Items] |  |  |  |  |  |
Payments for Repurchase of Common Stock | $ 200,000 |  |  |  |  |
Stock Repurchased and Retired During Period, Shares |  | 70,127 | 319,400 | 389,527 |  |
Stock Repurchase Program, Remaining Authorized Repurchase Amount |  |  | $ 40,000 |  |  |

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