Revenue Recognition (Narrative) (Details) - USD ($) $ in Millions	9 Months Ended
	May 31, 2023	May 31, 2022	Aug. 31, 2022
Disaggregation Of Revenue [Line Items]
Unsatisfied performance obligation amount	$ 1.6
Revenue recognized	26.3	$ 32.7
Other Current Assets [Member]
Disaggregation Of Revenue [Line Items]
Contract assets	1.3	1.0	$ 0.9
Other Current Liabilities [Member]
Disaggregation Of Revenue [Line Items]
Contract liabilities	$ 21.2	$ 35.0	$ 30.6