Revenue Recognition (Narrative) (Details) - USD ($) $ in Millions	9 Months Ended
	May 31, 2024	May 31, 2023	Aug. 31, 2023
Disaggregation Of Revenue [Line Items]
Unsatisfied performance obligation amount	$ 112.6
Revenue recognized	14.5	$ 26.3
Other Current Assets [Member]
Disaggregation Of Revenue [Line Items]
Contract assets	3.6	1.3	$ 1.3
Other Current Liabilities [Member]
Disaggregation Of Revenue [Line Items]
Contract liabilities	$ 23.5	$ 21.2	$ 20.5