Stockholders' Equity - Schedule of Common Stock Outstanding (Details) - shares	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common stock outstanding, beginning balances (in shares)	131,294,422
Treasury shares purchased (in shares)	(11,300,000)	(6,700,000)	(11,800,000)
Common stock outstanding, ending balance (in shares)	113,744,167	131,294,422
Common stock:
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common stock outstanding, beginning balances (in shares)	131,294,422	135,493,980	144,496,077
Shares issued under employee stock purchase plan (in shares)	628,960	1,043,294	970,480
Vesting of restricted stock (in shares)	1,802,380	2,014,802	2,503,143
Purchases of treasury stock under employee stock plans (in shares)	(537,318)	(571,606)	(713,667)
Treasury shares purchased (in shares)	(19,444,277)	(6,686,048)	(11,762,053)
Common stock outstanding, ending balance (in shares)	113,744,167	131,294,422	135,493,980