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Fair Value Measurements (Details)
$ in Millions
3 Months Ended
Feb. 28, 2023
investment
May 31, 2023
USD ($)
Aug. 31, 2022
USD ($)
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Cash and cash equivalents   $ 359.3 $ 223.2
Number of strategic investments whose underlying Company was acquired by a third party | investment 1    
Short-term borrowings outstanding   0.0 18.0
Line of Credit | Credit facility | The Credit Agreement      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Short-term borrowings outstanding   0.0 18.0
Approximate fair value of short term borrowings   0.0 18.0
Reported Value Measurement      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Investments   9.5 11.9
Estimate of Fair Value Measurement | Unsecured debt | 2.150% Senior Unsecured Notes Due December 2030      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying and estimated fair values of financial instruments   $ 401.4 $ 399.2