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Share Transactions (Details) - USD ($) $ / shares in Units, $ in Millions | 1 Months Ended | 12 Months Ended |
--- | --- | --- | ---
May 31, 2024 | Apr. 30, 2024 | Mar. 31, 2024 | Dec. 31, 2023 | Nov. 30, 2023 | Sep. 30, 2023 | Aug. 31, 2023 | Jun. 30, 2023 | May 31, 2023 | Apr. 30, 2023 | Mar. 31, 2023 | Feb. 28, 2023 | Jan. 31, 2023 | Dec. 31, 2022 | Nov. 30, 2022 | Oct. 31, 2022 | Sep. 30, 2022 | Aug. 31, 2022 | Jul. 31, 2022 | Jun. 30, 2022 | May 31, 2022 | Apr. 30, 2022 | Mar. 31, 2022 | Feb. 28, 2022 | Jan. 31, 2022 | Aug. 31, 2021 | May 31, 2021 | Apr. 30, 2021 | Mar. 31, 2021 | Feb. 28, 2021 | Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020 | Feb. 08, 2023
Share Transactions [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Repurchase amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 28.1 |  |  |  |  |
Aggregate repurchased shares (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 703,931 |  |  |  |  |
Percentage of shares outstanding |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 25.80% |  |  |  |  |
Remaining amount authorized |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 6.9 |  |  |  |  |
Average price per share (in Dollars per share) | [1] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 0.8 | $ 0.39 | $ 3.16 | $ 1.3 |  |
Shares were repurchased (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 54,060 | 125 |  |  |  |
Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share Transactions [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Average price per share (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 39.93 |  |  |  |  |
Minimum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share Transactions [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Repurchase amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 25.0
Average price per share (in Dollars per share) |  | $ 44.82 | $ 43.76 | $ 45.03 | $ 37.53 | $ 37.03 | $ 38.11 | $ 36.98 | $ 33.63 | $ 36.53 | $ 35.79 | $ 37.02 | $ 33.06 | $ 32.78 | $ 33.26 | $ 34.53 | $ 35.2 | $ 36.8 | $ 28.24 | $ 36.4 | $ 37.28 | $ 37.7 | $ 39.07 | $ 39.24 | $ 39.53 | $ 39.07 | $ 41.03 | $ 34.56 | $ 33.11 | $ 30.25 | $ 30.25 |  |  |  |  |  |
Maximum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share Transactions [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Repurchase amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 35.0
Average price per share (in Dollars per share) |  | $ 44.82 | $ 43.76 | $ 45.03 | $ 41.03 | $ 37.78 | $ 38.11 | $ 39.41 | $ 38.76 | $ 36.53 | $ 37.03 | $ 38.89 | $ 39.03 | $ 34.84 | $ 34.84 | $ 35.28 | $ 36.14 | $ 37.5 | $ 37.79 | $ 37.23 | $ 39.19 | $ 39.78 | $ 41 | $ 40.57 | $ 41 | $ 40.88 | $ 42.28 | $ 39.93 | $ 34.89 | $ 34.42 | $ 30.96 |  |  |  |  |  |
[1] | The amount shown at this caption is the balancing amount derived from the other figures in the schedule. The amount shown at this caption for a share outstanding throughout the period may not agree with the repurchase of common stock because of the timing of repurchase of the Company’s shares.

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