Industry Segment Information (Schedule of Segment Reporting Information Impacts on Statement of Operations, by Segment) (Details) - USD ($) $ in Thousands	3 Months Ended
	Nov. 30, 2022	Nov. 30, 2021
Segment Reporting Information [Line Items]
Total operating revenues	$ 176,159	$ 166,152
Total operating income	24,598	13,361
Interest and other expense, net	(593)	3,886
Earnings before income taxes	24,005	9,475
Irrigation [Member]
Segment Reporting Information [Line Items]
Total operating revenues	152,083	145,909
Total operating income	28,641	17,212
Irrigation [Member] | North America [Member]
Segment Reporting Information [Line Items]
Total operating revenues	83,934	78,976
Irrigation [Member] | International [Member]
Segment Reporting Information [Line Items]
Total operating revenues	68,149	66,933
Infrastructure [Member]
Segment Reporting Information [Line Items]
Total operating revenues	24,076	20,243
Total operating income	3,372	2,766
Corporate Segment
Segment Reporting Information [Line Items]
Total operating income	$ (7,415)	$ (6,617)