Concentration of Risk and Segment Data (Long-lived Assets) (Details) - USD ($) $ in Thousands	May 31, 2020	Aug. 31, 2019
Segment Reporting Information [Line Items]
Long-lived assets	$ 4,407,914	$ 4,212,858
China
Segment Reporting Information [Line Items]
Long-lived assets	1,490,313	1,579,904
Mexico
Segment Reporting Information [Line Items]
Long-lived assets	393,079	418,641
Malaysia
Segment Reporting Information [Line Items]
Long-lived assets	223,618	154,386
Switzerland
Segment Reporting Information [Line Items]
Long-lived assets	219,290	158
Singapore
Segment Reporting Information [Line Items]
Long-lived assets	145,249	156,028
Taiwan
Segment Reporting Information [Line Items]
Long-lived assets	115,436	123,608
Vietnam
Segment Reporting Information [Line Items]
Long-lived assets	109,371	85,728
Hungary
Segment Reporting Information [Line Items]
Long-lived assets	100,568	85,809
Other
Segment Reporting Information [Line Items]
Long-lived assets	451,396	462,261
Foreign source revenue
Segment Reporting Information [Line Items]
Long-lived assets	3,248,320	3,066,523
U.S.
Segment Reporting Information [Line Items]
Long-lived assets	$ 1,159,594	$ 1,146,335