Debt (Narrative) (Details)	3 Months Ended
	Nov. 30, 2021 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 both 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 November 30, 2021, the entire balance on this facility is classified as long-term and only contains amounts denominated in Euros and Pound Sterling. Euro and Pound Sterling denominated draws will fluctuate in U.S. Dollars from period to period due to changes in foreign currency exchange rates.