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Changes in Stockholders' Equity
 3 Months Ended
Nov. 30, 2023
Equity [Abstract]  
Changes in Stockholders' Equity Changes in Stockholders' Equity
The following tables summarize changes in the components of stockholders' equity for the periods presented (in millions):
Common Stock Outstanding
SharesAmountPaid-in
Capital		Retained
Earnings		Accumulated Other
Comprehensive
Loss		Treasury
Stock, at cost		Total
Balance, August 31, 202331.1 $0.5 $1,066.8 $3,505.4 $(112.6)$(2,444.7)$2,015.4 
Net income— — — 100.6 — — 100.6 
Other comprehensive loss— — — — (1.5)— (1.5)
Share-based payment amortization, issuances, and cancellations0.1 — 2.1 — — — 2.1 
Employee stock purchase plan issuances— — 0.5 — — — 0.5 
Cash dividends of $0.13 per share paid on common stock
— — — (4.1)— — (4.1)
Stock options exercised— — 1.1 — — — 1.1 
Repurchases of common stock(0.3)— — — — (50.0)(50.0)
Balance, November 30, 202330.9 $0.5 $1,070.5 $3,601.9 $(114.1)$(2,494.7)$2,064.1 
Common Stock Outstanding
SharesAmountPaid-in
Capital		Retained
Earnings		Accumulated Other
Comprehensive
Loss		Treasury
Stock, at cost		Total
Balance, August 31, 202232.5 $0.5 $1,036.3 $3,176.2 $(125.8)$(2,175.4)$1,911.8 
Net income— — — 74.9 — — 74.9 
Other comprehensive loss— — — — (0.4)— (0.4)
Share-based payment amortization, issuances, and cancellations0.2 — (1.8)— — — (1.8)
Employee stock purchase plan issuances— — 0.5 — — — 0.5 
Cash dividends of $0.13 per share paid on common stock
— — — (4.3)— — (4.3)
Stock options exercised— — 0.4 — — — 0.4 
Repurchases of common stock(0.5)— — — — (77.6)(77.6)
Balance, November 30, 202232.2 $0.5 $1,035.4 $3,246.8 $(126.2)$(2,253.0)$1,903.5