Consolidated Statements of Changes in Stockholders' Equity - Unaudited - USD ($) $ in Thousands	Total	Common Stock	Additional Paid-in Capital	Treasury Stock	Retained Earnings	Accumulated Other Comprehensive Loss
Balance, beginning of period (in shares) at Aug. 31, 2024		42,598,915
Beginning balance at Aug. 31, 2024	$ 1,912,460	$ 426	$ 1,478,839	$ (1,375,696)	$ 1,888,504	$ (79,613)
Beginning balance, treasury stock (in shares) at Aug. 31, 2024				4,646,645
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Dividends declared	(39,572)
Balance, end of period (in shares) at Nov. 30, 2024		42,830,024
Ending balance at Nov. 30, 2024	1,991,561	$ 428	1,531,278	$ (1,438,678)	1,998,954	(100,421)
Ending balance, treasury stock (in shares) at Nov. 30, 2024				4,780,213
Balance, beginning of period (in shares) at Aug. 31, 2024		42,598,915
Beginning balance at Aug. 31, 2024	1,912,460	$ 426	1,478,839	$ (1,375,696)	1,888,504	(79,613)
Beginning balance, treasury stock (in shares) at Aug. 31, 2024				4,646,645
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	294,882				294,882
Other comprehensive income (loss)	(33,140)					(33,140)
Common stock issued for employee stock plans (in shares)		235,036		370
Common stock issued for employee stock plans	60,174	$ 2	60,342	$ (170)
Vesting of restricted stock (in shares)		76,137		30,500
Vesting of restricted stock	(14,058)	$ 1	(1)	$ (14,058)
Excise tax on share repurchases	$ (1,315)			$ (1,315)
Repurchases of common stock (in shares)	241,189			241,189
Repurchases of common stock	$ (113,142)			$ (113,142)
Stock-based compensation expense	30,139		30,139
Dividends declared	(79,083)				(79,083)
Balance, end of period (in shares) at Feb. 28, 2025		42,910,088
Ending balance at Feb. 28, 2025	2,056,917	$ 429	1,569,319	$ (1,504,381)	2,104,303	(112,753)
Ending balance, treasury stock (in shares) at Feb. 28, 2025				4,918,704
Balance, beginning of period (in shares) at Nov. 30, 2024		42,830,024
Beginning balance at Nov. 30, 2024	1,991,561	$ 428	1,531,278	$ (1,438,678)	1,998,954	(100,421)
Beginning balance, treasury stock (in shares) at Nov. 30, 2024				4,780,213
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	144,860				144,860
Other comprehensive income (loss)	(12,332)					(12,332)
Common stock issued for employee stock plans (in shares)		73,939
Common stock issued for employee stock plans	21,495	$ 1	21,494
Vesting of restricted stock (in shares)		6,125		1,777
Vesting of restricted stock	(843)			$ (843)
Excise tax on share repurchases	$ (508)			$ (508)
Repurchases of common stock (in shares)	136,714			136,714
Repurchases of common stock	$ (64,352)			$ (64,352)
Stock-based compensation expense	16,547		16,547
Dividends declared	(39,511)				(39,511)
Balance, end of period (in shares) at Feb. 28, 2025		42,910,088
Ending balance at Feb. 28, 2025	$ 2,056,917	$ 429	1,569,319	$ (1,504,381)	2,104,303	(112,753)
Ending balance, treasury stock (in shares) at Feb. 28, 2025				4,918,704
Balance, beginning of period (in shares) at Aug. 31, 2025	37,645,870	43,013,266
Beginning balance at Aug. 31, 2025	$ 2,186,413	$ 430	1,621,753	$ (1,695,429)	2,323,407	(63,748)
Beginning balance, treasury stock (in shares) at Aug. 31, 2025	5,367,396			5,367,396
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Dividends declared	$ (40,969)
Balance, end of period (in shares) at Nov. 30, 2025		43,110,694
Ending balance at Nov. 30, 2025	$ 2,167,884	$ 431	1,648,754	$ (1,842,292)	2,435,018	(74,027)
Ending balance, treasury stock (in shares) at Nov. 30, 2025				5,866,870
Balance, beginning of period (in shares) at Aug. 31, 2025	37,645,870	43,013,266
Beginning balance at Aug. 31, 2025	$ 2,186,413	$ 430	1,621,753	$ (1,695,429)	2,323,407	(63,748)
Beginning balance, treasury stock (in shares) at Aug. 31, 2025	5,367,396			5,367,396
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	$ 285,636				285,636
Other comprehensive income (loss)	(5,947)					(5,947)
Common stock issued for employee stock plans (in shares)		85,161
Common stock issued for employee stock plans	16,663	$ 1	16,662
Vesting of restricted stock (in shares)		61,901		22,355
Vesting of restricted stock	(5,958)	$ 1	(1)	$ (5,958)
Excise tax on share repurchases	$ (2,815)			$ (2,815)
Repurchases of common stock (in shares)	1,129,850			1,129,850
Repurchases of common stock	$ (302,930)			$ (302,930)
Stock-based compensation expense	39,324		39,324
Dividends declared	$ (81,274)				(81,274)
Balance, end of period (in shares) at Feb. 28, 2026	36,640,727	43,160,328
Ending balance at Feb. 28, 2026	$ 2,129,112	$ 432	1,677,738	$ (2,007,132)	2,527,769	(69,695)
Ending balance, treasury stock (in shares) at Feb. 28, 2026	6,519,601			6,519,601
Balance, beginning of period (in shares) at Nov. 30, 2025		43,110,694
Beginning balance at Nov. 30, 2025	$ 2,167,884	$ 431	1,648,754	$ (1,842,292)	2,435,018	(74,027)
Beginning balance, treasury stock (in shares) at Nov. 30, 2025				5,866,870
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	133,056				133,056
Other comprehensive income (loss)	4,332					4,332
Common stock issued for employee stock plans (in shares)		44,170
Common stock issued for employee stock plans	8,118	$ 1	8,117
Vesting of restricted stock (in shares)		5,464		981
Vesting of restricted stock	(263)			$ (263)
Excise tax on share repurchases	$ (1,546)			$ (1,546)
Repurchases of common stock (in shares)	651,750			651,750
Repurchases of common stock	$ (163,031)			$ (163,031)
Stock-based compensation expense	20,867		20,867
Dividends declared	$ (40,305)				(40,305)
Balance, end of period (in shares) at Feb. 28, 2026	36,640,727	43,160,328
Ending balance at Feb. 28, 2026	$ 2,129,112	$ 432	$ 1,677,738	$ (2,007,132)	$ 2,527,769	$ (69,695)
Ending balance, treasury stock (in shares) at Feb. 28, 2026	6,519,601			6,519,601