Concentration of Risk and Segment Data (Long-lived Assets) (Details) - USD ($) $ in Thousands	Aug. 31, 2019	Aug. 31, 2018
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	$ 4,212,858	$ 4,104,892
China
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	1,579,904	1,770,732
Mexico
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	418,641	256,086
Singapore
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	156,028	191,506
Malaysia
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	154,386	113,011
Taiwan
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	123,608	130,062
Hungary
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	85,809	91,063
Spain
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	77,855	79,991
Poland
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	57,794	60,847
Other
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	412,498	334,466
Foreign
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	3,066,523	3,027,764
U.S.
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-lived assets	$ 1,146,335	$ 1,077,128