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Accumulated Other Comprehensive (Loss) Income (Change in AOCI, Net of Tax) (Details) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Feb. 28, 2021
Feb. 29, 2020
Feb. 28, 2021
Feb. 29, 2020
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]        
Beginning Balance $ 1,993,951 $ 1,849,293 $ 1,825,399 $ 1,900,758
Other comprehensive income (loss) before reclassifications     66,983  
Amounts reclassified from AOCI     (37,085)  
Total other comprehensive income (loss) 10,076 (28,621) 29,898 (20,149)
Ending Balance 2,101,942 1,759,140 2,101,942 1,759,140
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     11,004  
Amounts reclassified from AOCI     0  
Total other comprehensive income (loss)     11,004  
Ending Balance (25,591)   (25,591)  
Derivative Instruments        
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]        
Beginning Balance     (30,996)  
Other comprehensive income (loss) before reclassifications     56,235  
Amounts reclassified from AOCI     (37,085)  
Total other comprehensive income (loss)     19,150  
Ending Balance (11,846)   (11,846)  
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 (14,346) (74,322) (34,168) (82,794)
Total other comprehensive income (loss) 10,076 (28,621) 29,898 (20,149)
Ending Balance $ (4,270) $ (102,943) $ (4,270) $ (102,943)