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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 28, 2026
Feb. 28, 2025
Feb. 28, 2026
Feb. 28, 2025
Aug. 31, 2025
Foreign currency translation          
Beginning balance $ (1,233,235) $ (1,770,726) $ (1,060,062) $ (1,295,743)  
Foreign currency translation 345,924 (174,026) 164,038 (660,113)  
Income tax benefit (expense) (544) 4,506 5,261 5,536  
Portion attributable to noncontrolling interests (6,473) 2,617 (3,565) 12,691  
Foreign currency translation, net of tax 338,907 (166,903) 165,734 (641,886)  
Ending balance (894,328) (1,937,629) (894,328) (1,937,629)  
Defined benefit plans          
Beginning balance (129,120) (269,930) (195,940) (254,172)  
Actuarial gains (losses) 30,227 0 109,527 0  
Prior service costs arising during the period (102,407) 0 (102,407) 0  
Reclassifications into net periodic pension and post-retirement expense 7,778 4,255 10,851 (13,425)  
Income tax benefit (expense) 17,403 (833) 1,913 1,074  
Portion attributable to noncontrolling interests 44 (3) (19) 12  
Defined benefit plans (46,955) 3,419 19,865 (12,339)  
Ending balance (176,075) (266,511) (176,075) (266,511)  
Cash flow hedges          
Beginning balance (234,022) (8,738) (209,377) (4,827)  
Unrealized gain (loss) (181,447) (113,620) (235,354) (99,022)  
Reclassification adjustments into Cost of services 58,133 1,830 87,487 (5,647)  
Income tax benefit (expense) 27,163 16,149 27,048 5,113  
Portion attributable to noncontrolling interests 90 89 113 93  
Cash flow hedges, net of tax (96,061) (95,552) (120,706) (99,463)  
Ending Balance (330,083) (104,290) (330,083) (104,290)  
Accumulated other comprehensive loss $ (1,400,486) $ (2,308,430) (1,400,486) $ (2,308,430) $ (1,465,379)
Net unrealized losses expected to be reclassified in the next twelve months     $ 206,534