Business Segments (Schedule of Segment Reporting Information Impacts on Statement of Operations, by Segment) (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Feb. 28, 2025	Feb. 29, 2024	Feb. 28, 2025	Feb. 29, 2024
Segment Reporting Information [Line Items]
Total operating revenues	$ 187,064	$ 151,519	$ 353,345	$ 312,877
Total operating income	32,124	22,098	53,006	43,172
Interest and other expense, net	1,090	599	2,241	520
Earnings before income taxes	33,214	22,697	55,247	43,692
Irrigation [Member]
Segment Reporting Information [Line Items]
Total operating revenues	148,139	133,018	295,226	273,186
Total operating income	27,377	25,649	52,111	50,956
Irrigation [Member] | North America [Member]
Segment Reporting Information [Line Items]
Total operating revenues	77,145	82,845	154,884	172,222
Irrigation [Member] | International [Member]
Segment Reporting Information [Line Items]
Total operating revenues	70,994	50,173	140,342	100,964
Infrastructure [Member]
Segment Reporting Information [Line Items]
Total operating revenues	38,925	18,501	58,119	39,691
Total operating income	13,257	3,506	17,381	7,125
Corporate Segment
Segment Reporting Information [Line Items]
Total operating income	$ (8,510)	$ (7,057)	$ (16,486)	$ (14,909)