Accumulated Other Comprehensive (Loss) Income (Change in AOCI, Net of Tax) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 31, 2021	May 31, 2020	May 31, 2021	May 31, 2020
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning Balance	$ 2,101,942	$ 1,759,140	$ 1,825,399	$ 1,900,758
Other comprehensive income (loss) before reclassifications			89,470
Amounts reclassified from AOCI			(40,580)
Total other comprehensive income (loss)	18,992	(46,460)	48,890	(66,609)
Ending Balance	2,138,960	1,645,304	2,138,960	1,645,304
Foreign Currency Translation Adjustment
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning Balance			(36,595)
Other comprehensive income (loss) before reclassifications			25,613
Amounts reclassified from AOCI			0
Total other comprehensive income (loss)			25,613
Ending Balance	(10,982)		(10,982)
Derivative Instruments
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning Balance			(30,996)
Other comprehensive income (loss) before reclassifications			64,113
Amounts reclassified from AOCI			(40,580)
Total other comprehensive income (loss)			23,533
Ending Balance	(7,463)		(7,463)
Actuarial Loss
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning Balance			34,093
Other comprehensive income (loss) before reclassifications			(256)
Amounts reclassified from AOCI			0
Total other comprehensive income (loss)			(256)
Ending Balance	33,837		33,837
Prior Service Cost
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning Balance			(670)
Other comprehensive income (loss) before reclassifications			0
Amounts reclassified from AOCI			0
Total other comprehensive income (loss)			0
Ending Balance	(670)		(670)
AOCI Attributable to Parent
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning Balance	(4,270)	(102,943)	(34,168)	(82,794)
Total other comprehensive income (loss)	18,992	(46,460)	48,890	(66,609)
Ending Balance	$ 14,722	$ (149,403)	$ 14,722	$ (149,403)