Earnings per Share and Shareholders' Equity Share Repurchase (Details) - USD ($)	3 Months Ended			9 Months Ended		174 Months Ended
	May 31, 2026	Feb. 28, 2026	May 31, 2025	May 31, 2026	May 31, 2025	Feb. 28, 2026	Oct. 10, 2025
Equity [Abstract]
Stock Repurchased During Period, Value	$ 81,100,000				$ 28,600,000
Share Repurchase Program, Authorized, Amount							$ 200,000,000
Share Repurchase Program, Remaining Authorized, Amount	$ 119,700,000			$ 119,700,000
Incremental Common Shares Attributable to Dilutive Effect of Share-based Payment Arrangements	252,000		366,000	346,000	449,000
Anti-dilutive securities from stock based compensation plans (excluded from earnings per share calculation)	301,000		188,000	172,000	143,000
Treasury Stock, Value, Acquired, Cost Method	$ 15,210,000	$ 51,025,000				$ 988,700,000
Stock Repurchased During Period, Shares				2,078,645	660,050