Stockholders' Equity - Common Stock Outstanding (Details) - shares	3 Months Ended		15 Months Ended
	Nov. 30, 2024	Nov. 30, 2023	Nov. 30, 2024
Common stock outstanding:
Common stock outstanding, beginning balances (in shares)	113,744,167
Treasury shares purchased (in shares)	(1,800,000)	(0.0)
Common stock outstanding, ending balance (in shares)	111,693,059		111,693,059
Common stock:
Common stock outstanding:
Common stock outstanding, beginning balances (in shares)	113,744,167	131,294,422	131,294,422
Vesting of restricted stock (in shares)	1,082,612	1,766,775
Purchases of treasury stock under employee stock plans (in shares)	(323,000)	(526,028)
Treasury shares purchased (in shares)	(2,810,720)	(3,887,738)
Common stock outstanding, ending balance (in shares)	111,693,059	128,647,431	111,693,059