Revenue Recognition Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Feb. 28, 2025	Feb. 29, 2024	Feb. 28, 2025	Feb. 29, 2024
Disaggregation of Revenue [Line Items]
Revenues	$ 145,528	$ 138,437	$ 290,724	$ 280,406
Accounts Receivable, Allowance for Credit Loss, Period Increase (Decrease)			13,200
Revenue Recognized at a Point in Time [Member]
Disaggregation of Revenue [Line Items]
Revenues	117,448	108,385	226,745	214,526
Transferred over Time [Member]
Disaggregation of Revenue [Line Items]
Revenues	$ 28,080	$ 30,052	$ 63,979	$ 65,880