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Segment Information - Results of Operations (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
May 31, 2020
May 31, 2019
May 31, 2020
May 31, 2019
Aug. 31, 2019
Revenue $ 374,083 $ 364,533 $ 1,110,521 $ 1,071,068  
Operating income 121,640 117,240 341,083 326,467  
Capital expenditures 11,010 11,424 62,909 32,906  
Assets 1,947,705   1,947,705   $ 1,560,130
Americas          
Revenue 230,992 226,961 695,053 672,479  
Operating income 54,019 51,012 144,952 140,549  
Capital expenditures 8,160 8,664 47,234 20,022  
Assets 1,106,646   1,106,646   851,014
EMEA          
Revenue 105,420 102,499 308,355 299,197  
Operating income 43,638 44,793 127,520 127,130  
Capital expenditures 520 439 2,037 2,136  
Assets 633,398   633,398   588,911
Asia Pacific          
Revenue 37,671 35,073 107,113 99,392  
Operating income 23,983 21,435 68,611 58,788  
Capital expenditures 2,330 $ 2,321 13,638 $ 10,748  
Assets $ 207,661   $ 207,661   $ 120,205