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Fair Value Measurements - Schedule of Carrying Value and Estimated Fair Value of Financial Instruments (Details) - Fair value measured on recurring basis - USD ($)
$ in Millions
Feb. 29, 2024
Aug. 31, 2023
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Total assets at fair value $ 586.7 $ 405.5
Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 578.9 397.9
Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other financial instruments 0.6 0.4
Level 1,2 and 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets in fair value hierarchy 579.5 398.3
Other investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments $ 7.2 $ 7.2