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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
May 31, 2025
May 31, 2024
May 31, 2025
May 31, 2024
Aug. 31, 2024
Foreign currency translation          
Beginning balance $ (1,937,629) $ (1,534,213) $ (1,295,743) $ (1,510,632)  
Foreign currency translation 758,598 (59,999) 98,485 (85,286)  
Income tax benefit (expense) (5,368) 2,088 168 3,314  
Portion attributable to noncontrolling interests (14,708) 2,229 (2,017) 2,709  
Foreign currency translation, net of tax 738,522 (55,682) 96,636 (79,263)  
Ending balance (1,199,107) (1,589,895) (1,199,107) (1,589,895)  
Defined benefit plans          
Beginning balance (266,511) (184,873) (254,172) (226,503)  
Reclassifications into net periodic pension and post-retirement expense 4,650 6,529 (8,775) 57,337  
Income tax benefit (expense) (1,101) (1,650) (27) (10,787)  
Portion attributable to noncontrolling interests (4) (3) 8 (44)  
Defined benefit plans, net of tax 3,545 4,876 (8,794) 46,506  
Ending balance (262,966) (179,997) (262,966) (179,997)  
Cash flow hedges          
Beginning balance (104,290) 61,946 (4,827) (5,966)  
Unrealized gain (loss) 76,998 (47,583) (22,024) 49,792  
Reclassification adjustments into Cost of services 1,893 (10,163) (3,754) (25,609)  
Income tax benefit (expense) 1,958 10,401 7,071 (3,549)  
Portion attributable to noncontrolling interests (75) 47 18 (20)  
Cash flow hedges, net of tax 80,774 (47,298) (18,689) 20,614  
Ending Balance (23,516) 14,648 (23,516) 14,648  
Accumulated other comprehensive loss $ (1,485,589) $ (1,755,244) (1,485,589) $ (1,755,244) $ (1,554,742)
Net unrealized losses expected to be reclassified in the next twelve months     $ 2,615