Stockholders' Equity (Details) - USD ($) $ / shares in Units, $ in Millions		3 Months Ended		9 Months Ended
	May 24, 2023	Apr. 30, 2023	Apr. 30, 2022	Apr. 30, 2023	Apr. 30, 2022
Schedule of Equity Method Investments [Line Items]
Number of shares authorized to be repurchased (in shares)		13,000,000		13,000,000
Stock repurchased during the period (in shares)				2,100,000	2,500,000
Stock repurchased during the period				$ 119.3	$ 153.7
Shares with remaining authorization for repurchase under stock repurchase plan (in shares)		3,300,000		3,300,000
Dividends paid per share (in usd per share)		$ 0.23	$ 0.22	$ 0.69	$ 0.66
Dividends declared (in usd per share)				$ 0.46	$ 0.44
Subsequent Event
Schedule of Equity Method Investments [Line Items]
Dividends declared (in usd per share)	$ 0.25