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Treasury Stock - Schedule of repurchase of common stock (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended | 8 Months Ended |  |
--- | --- | --- | --- | --- | ---
Nov. 30, 2023 | Aug. 31, 2023 | Nov. 30, 2022 | Aug. 31, 2022 | Nov. 30, 2023 | Nov. 30, 2023 | Jul. 19, 2023 | Mar. 22, 2023
Equity, Class of Treasury Stock [Line Items] |  |  |  |  |  |  |  |
Authorized amount of stock to be repurchased | $ 150.0 |  |  |  | $ 150.0 | $ 150.0 | $ 100.0 |
Less repurchases made under these authorizations | (52.3) | $ (36.2) | $ (26.0) | $ (5.1) | (88.5) |  |  |
Remaining Board authorization at November 30, 2023 | $ 33.8 |  |  |  | $ 33.8 | 33.8 |  |
Board Authorized 2023 Share Repurchase Program |  |  |  |  |  |  |  |
Equity, Class of Treasury Stock [Line Items] |  |  |  |  |  |  |  |
Authorized amount of stock to be repurchased |  |  |  |  |  |  |  | $ 50.0
Board Authorized 2024 Share Repurchase Program |  |  |  |  |  |  |  |
Equity, Class of Treasury Stock [Line Items] |  |  |  |  |  |  |  |
Authorized amount of stock to be repurchased |  |  |  |  |  |  | $ 100.0 |
Under all Board Authorizations |  |  |  |  |  |  |  |
Equity, Class of Treasury Stock [Line Items] |  |  |  |  |  |  |  |
Less repurchases made under these authorizations |  |  |  |  |  | $ (116.2) |  |

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