Stockholders' Equity (Details) - USD ($) $ / shares in Units, $ in Millions		3 Months Ended		9 Months Ended
	May 31, 2024	Apr. 30, 2024	Apr. 30, 2023	Apr. 30, 2024	Apr. 30, 2023	Nov. 30, 2023
Class of Stock [Line Items]
Stock repurchase program, additional shares authorized for repurchase (in shares)						12,000,000
Stock repurchased during the period (in shares)				1,800,000	2,100,000
Stock repurchased during the period including excise tax				$ 114.0	$ 119.3
Shares with remaining authorization for repurchase under stock repurchase plan (in shares)		11,400,000		11,400,000
Dividends paid per share (in usd per share)		$ 0.25	$ 0.23	$ 0.75	$ 0.69
Dividends, per share (in usd per share)		$ 0.00	$ 0.00	$ 0.50	$ 0.46
Subsequent Event
Class of Stock [Line Items]
Dividends, per share (in usd per share)	$ 27.0