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Changes in Stockholders' Equity
 3 Months Ended
Nov. 30, 2021
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, 202135.2 $0.5 $995.6 $2,810.3 $(98.2)$(1,663.7)$2,044.5 
Net income— — — 87.6 — — 87.6 
Other comprehensive loss— — — — (10.7)— (10.7)
Share-based payment amortization, issuances, and cancellations0.1 — 0.4 — — — 0.4 
Employee stock purchase plan issuances— — 0.6 — — — 0.6 
Cash dividends of $0.13 per share paid on common stock
— — — (4.7)— — (4.7)
Stock options exercised0.1 — 8.0 — — — 8.0 
Repurchases of common stock(0.3)— — — — (52.8)(52.8)
Balance, November 30, 202135.1 $0.5 $1,004.6 $2,893.2 $(108.9)$(1,716.5)$2,072.9 
Common Stock Outstanding
SharesAmountPaid-in
Capital		Retained
Earnings		Accumulated Other
Comprehensive
Loss		Treasury
Stock, at cost		Total
Balance, August 31, 202038.9 $0.5 $963.6 $2,523.3 $(132.7)$(1,227.2)$2,127.5 
Net income— — — 59.6 — — 59.6 
Other comprehensive income— — — — 6.2 — 6.2 
Cumulative effect of adoption of ASC 326— — — (0.2)— — (0.2)
Share-based payment amortization, issuances, and cancellations0.1 — 4.7 — — — 4.7 
Employee stock purchase plan issuances— — 0.3 — — — 0.3 
Cash dividends of $0.13 per share paid on common stock
— — — (5.0)— — (5.0)
Repurchases of common stock(2.6)— — — — (256.1)(256.1)
Balance, November 30, 202036.4 $0.5 $968.6 $2,577.7 $(126.5)$(1,483.3)$1,937.0