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Fair Value Measurements (Details) - USD ($)
Nov. 30, 2022
Aug. 31, 2022
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents $ 284,100,000 $ 223,200,000
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 12,000,000 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 $ 388,400,000 $ 399,200,000