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Fair Value Measurements (Details)
3 Months Ended
Feb. 28, 2023
USD ($)
investment
Aug. 31, 2022
USD ($)
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents $ 339,000,000 $ 223,200,000
Number of strategic investments whose underlying Company was acquired by a third party | investment 1  
Short-term borrowings outstanding $ 0 18,000,000.0
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 18,000,000
Approximate fair value of short term borrowings 0 18,000,000
Reported Value Measurement    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments 9,500,000 11,900,000
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 $ 390,600,000 $ 399,200,000