Stockholders' Equity - Schedule of Common Stock Outstanding (Details) - shares	12 Months Ended
	Aug. 31, 2026	Aug. 31, 2025	Aug. 31, 2024
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common stock outstanding, beginning balances (in shares)	107,480,895
Treasury shares purchased (in shares)	(3,200,000)	(2,800,000)	(11,300,000)
Common stock outstanding, ending balance (in shares)	104,475,785	107,480,895
Common stock:
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common stock outstanding, beginning balances (in shares)	107,480,895	113,744,167	131,294,422
Shares issued under employee stock purchase plan (in shares)	383,194	593,727	628,960
Vesting of restricted stock (in shares)	1,121,753	1,117,182	1,802,380
Purchases of treasury stock under employee stock plans (in shares)	(319,406)	(330,256)	(537,318)
Treasury shares purchased (in shares)	(4,190,651)	(7,643,925)	(19,444,277)
Common stock outstanding, ending balance (in shares)	104,475,785	107,480,895	113,744,167