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Treasury Stock - Schedule of repurchase of common stock (Details) - USD ($)
$ in Millions
3 Months Ended 7 Months Ended 9 Months Ended
Feb. 29, 2024
Nov. 30, 2023
Aug. 31, 2023
Feb. 28, 2023
Nov. 30, 2022
Aug. 31, 2022
Feb. 29, 2024
Feb. 29, 2024
Dec. 13, 2023
Jul. 19, 2023
Equity, Class of Treasury Stock [Line Items]                    
Authorized amount of stock to be repurchased $ 166.2           $ 166.2 $ 166.2    
Less repurchases made under these authorizations (54.2) $ (52.3) $ (36.2) $ (46.9) $ (26.0) $ (5.1)   (142.7)    
Remaining Board authorization at February 29, 2024 46.0           46.0 46.0    
Board Authorized 2023 Share Repurchase Program                    
Equity, Class of Treasury Stock [Line Items]                    
Authorized amount of stock to be repurchased                   $ 100.0
Board Authorized 2024 Share Repurchase Program                    
Equity, Class of Treasury Stock [Line Items]                    
Authorized amount of stock to be repurchased $ 66.2           66.2 $ 66.2 $ 66.2  
Under all Board Authorizations                    
Equity, Class of Treasury Stock [Line Items]                    
Less repurchases made under these authorizations             $ (120.2)