Stockholders' Equity - Schedule of Common Stock Outstanding (Details) - shares	12 Months Ended
	Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common stock outstanding, beginning balances (in shares)	113,744,167
Treasury shares purchased (in shares)	(2,800,000)	(11,300,000)	(6,700,000)
Common stock outstanding, ending balance (in shares)	107,480,895	113,744,167
Common stock:
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common stock outstanding, beginning balances (in shares)	113,744,167	131,294,422	135,493,980
Shares issued under employee stock purchase plan (in shares)	593,727	628,960	1,043,294
Vesting of restricted stock (in shares)	1,117,182	1,802,380	2,014,802
Purchases of treasury stock under employee stock plans (in shares)	(330,256)	(537,318)	(571,606)
Treasury shares purchased (in shares)	(7,643,925)	(19,444,277)	(6,686,048)
Common stock outstanding, ending balance (in shares)	107,480,895	113,744,167	131,294,422