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Debt (Narrative) (Details)
 6 Months Ended
Feb. 28, 2022
USD ($)
agreement
Debt Instrument [Line Items]  
Number of agreements | agreement 2
Other Unsecured Debt [Member]  
Debt Instrument [Line Items]  
Revolving credit facility, amount $ 125,000,000.0
Note Agreement and the Credit Agreement [Member]  
Debt Instrument [Line Items]  
Consolidated leverage ratio 3.5
Consolidated interest coverage ratio 3
Credit Agreement - Revolving Credit Facility [Member]  
Debt Instrument [Line Items]  
Revolving credit facility, amount $ 150,000,000.0
Maturity date Sep. 30, 2025 [1]
Europe, The Middle East, Africa And India Subsidiary [Member] | Credit Agreement - Revolving Credit Facility [Member]  
Debt Instrument [Line Items]  
Revolving credit facility, amount $ 100,000,000.0
[1] The Company has the ability to refinance any draw under the line of credit with successive short-term borrowings through the maturity date. Outstanding draws for which management has the ability and intent to refinance with successive short-term borrowings for a period of at least twelve months are classified as long-term. As of February 28, 2022, $44.8 million on this facility is classified as long-term and is denominated in Euros and Pound Sterling, whereas $1.2 million is classified as short-term and is denominated in U.S. Dollar. Euro and Pound Sterling denominated draws will fluctuate in U.S. Dollars from period to period due to changes in foreign currency exchange rates.