CONDENSED CONSOLIDATED STATEMENTS OF STOCKHOLDERS' EQUITY (UNAUDITED) - USD ($) $ in Thousands	Total	Common Stock	Additional Paid-In Capital	Accumulated Other Comprehensive Loss	Retained Earnings	Treasury Stock	Noncontrolling Interests
Beginning balance, shares at Aug. 31, 2022		129,060,664
Beginning balance at Aug. 31, 2022	$ 3,286,429	$ 1,290	$ 382,767	$ (114,451)	$ 3,312,438	$ (295,847)	$ 232
Treasury stock, beginning balance (in shares) at Aug. 31, 2022						(11,564,611)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net earnings	675,594				675,594
Other comprehensive income (loss)	169,433
Dividends	(56,257)
Treasury stock acquired, shares						(1,957,452)
Treasury stock acquired and excise tax	(82,839)					$ (82,839)
Issuance of stock under incentive and purchase plans, net of shares withheld for taxes and other	(13,665)		(42,270)			$ 28,605
Issuance of stock under incentive and purchase plans, net of forfeitures, shares						1,324,745
Stock-based compensation	35,229		35,229
Contribution of non-controlling interest	9						9
Reclassification of share-based liability awards	9,692		9,692
Ending balance, shares at May. 31, 2023		129,060,664
Ending balance at May. 31, 2023	4,023,625	$ 1,290	385,418	54,982	3,931,775	$ (350,081)	241
Treasury stock, ending balance (in shares) at May. 31, 2023						(12,197,318)
Beginning balance, shares at Feb. 28, 2023		129,060,664
Beginning balance at Feb. 28, 2023	3,783,193	$ 1,290	374,440	24,496	3,716,537	$ (333,802)	232
Treasury stock, beginning balance (in shares) at Feb. 28, 2023						(11,855,357)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net earnings	233,971				233,971
Other comprehensive income (loss)	30,486			30,486
Dividends	(18,733)				(18,733)
Treasury stock acquired, shares						(352,000)
Treasury stock acquired and excise tax	(16,516)					$ (16,516)
Issuance of stock under incentive and purchase plans, net of shares withheld for taxes and other	1,124		887			$ 237
Issuance of stock under incentive and purchase plans, net of forfeitures, shares						10,039
Stock-based compensation	10,091		10,091
Contribution of non-controlling interest	9						9
Ending balance, shares at May. 31, 2023		129,060,664
Ending balance at May. 31, 2023	$ 4,023,625	$ 1,290	385,418	54,982	3,931,775	$ (350,081)	241
Treasury stock, ending balance (in shares) at May. 31, 2023						(12,197,318)
Beginning balance, shares at Aug. 31, 2023	129,060,664	129,060,664
Beginning balance at Aug. 31, 2023	$ 4,121,114	$ 1,290	394,672	(3,778)	4,097,262	$ (368,573)	241
Treasury stock, beginning balance (in shares) at Aug. 31, 2023	(12,545,237)					(12,545,237)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net earnings	$ 381,560				381,560
Other comprehensive income (loss)	(86,911)
Dividends	$ (58,189)				(58,189)
Treasury stock acquired, shares	(2,498,129)					(2,498,129)
Treasury stock acquired and excise tax	$ (128,925)					$ (128,925)
Issuance of stock under incentive and purchase plans, net of shares withheld for taxes and other	(8,689)		(34,916)			$ 26,227
Issuance of stock under incentive and purchase plans, net of forfeitures, shares						1,086,893
Stock-based compensation	27,894		27,894
Contribution of non-controlling interest	7						7
Reclassification of share-based liability awards	$ 11,201		11,201
Ending balance, shares at May. 31, 2024	129,060,664	129,060,664
Ending balance at May. 31, 2024	$ 4,259,062	$ 1,290	398,851	(90,689)	4,420,633	$ (471,271)	248
Treasury stock, ending balance (in shares) at May. 31, 2024	(13,956,473)					(13,956,473)
Beginning balance, shares at Feb. 29, 2024		129,060,664
Beginning balance at Feb. 29, 2024	$ 4,222,688	$ 1,290	389,568	(71,519)	4,322,008	$ (418,900)	241
Treasury stock, beginning balance (in shares) at Feb. 29, 2024						(13,036,979)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net earnings	119,440				119,440
Other comprehensive income (loss)	(19,170)			(19,170)
Dividends	$ (20,815)				(20,815)
Treasury stock acquired, shares	(931,281)					(931,281)
Treasury stock acquired and excise tax	$ (52,578)					$ (52,578)
Issuance of stock under incentive and purchase plans, net of shares withheld for taxes and other	538		331			$ 207
Issuance of stock under incentive and purchase plans, net of forfeitures, shares						11,787
Stock-based compensation	8,952		8,952
Contribution of non-controlling interest	$ 7						7
Ending balance, shares at May. 31, 2024	129,060,664	129,060,664
Ending balance at May. 31, 2024	$ 4,259,062	$ 1,290	$ 398,851	$ (90,689)	$ 4,420,633	$ (471,271)	$ 248
Treasury stock, ending balance (in shares) at May. 31, 2024	(13,956,473)					(13,956,473)