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Revenue Recognition (Narrative) (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021
Deferred revenue	$ 102.4	$ 88.6
Remaining performance obligations	$ 153.4
Other Long-Term Liabilities [Member]
Deferred revenue		2.7
Minimum [Member]
Receivables collection period	30 days
Maximum [Member]
Receivables collection period	150 days
Direct Sales Commissions [Member]
Capitalized contract cost	$ 13.8	12.1
Direct Sales Commissions [Member] | Other Current Assets [Member]
Capitalized contract cost	12.6	11.0
Direct Sales Commissions [Member] | Other Long-Term Liabilities [Member]
Capitalized contract cost	1.2	1.1
Obtain Revenue Contracts [Member]
Capitalized contract cost	18.1
Selling, General, And Administrative Expense [Member]
Capitalized contract cost, amortized	16.4
Subscription Offerings [Member]
Deferred revenue	88.1	77.0
Subscription [Member]
Deferred revenue recognized	$ 123.1	$ 99.5

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