Concentration of Risk and Segment Data (Long-lived Assets) (Details) - USD ($) $ in Thousands	Aug. 31, 2018	Aug. 31, 2017
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	$ 4,104,892	$ 4,121,458
China
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	1,770,732	1,922,676
Singapore
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	191,506	204,181
Mexico
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	256,086	196,218
Taiwan
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	130,062	136,685
Malaysia
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	113,011	74,341
Hungary
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	91,063	89,814
Spain
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	79,991	83,064
Poland
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	60,847	55,617
Other
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	334,466	343,473
Foreign
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	3,027,764	3,106,069
U.S.
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	$ 1,077,128	$ 1,015,389