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Concentration of Risk and Segment Data (Long-lived Assets) (Details) - USD ($)
$ in Thousands
Aug. 31, 2020
Aug. 31, 2019
Revenues from External Customers and Long-Lived Assets [Line Items]    
Long-lived assets $ 4,572,035 $ 4,212,858
China    
Revenues from External Customers and Long-Lived Assets [Line Items]    
Long-lived assets 1,670,290 1,579,904
Mexico    
Revenues from External Customers and Long-Lived Assets [Line Items]    
Long-lived assets 375,902 418,641
Malaysia    
Revenues from External Customers and Long-Lived Assets [Line Items]    
Long-lived assets 232,165 154,386
Switzerland    
Revenues from External Customers and Long-Lived Assets [Line Items]    
Long-lived assets 218,851 158
Singapore    
Revenues from External Customers and Long-Lived Assets [Line Items]    
Long-lived assets 141,659 156,028
Taiwan    
Revenues from External Customers and Long-Lived Assets [Line Items]    
Long-lived assets 114,594 123,608
Vietnam    
Revenues from External Customers and Long-Lived Assets [Line Items]    
Long-lived assets 107,857 85,728
Hungary    
Revenues from External Customers and Long-Lived Assets [Line Items]    
Long-lived assets 101,437 85,809
Other    
Revenues from External Customers and Long-Lived Assets [Line Items]    
Long-lived assets 501,453 462,261
Foreign source revenue    
Revenues from External Customers and Long-Lived Assets [Line Items]    
Long-lived assets 3,464,208 3,066,523
U.S.    
Revenues from External Customers and Long-Lived Assets [Line Items]    
Long-lived assets $ 1,107,827 $ 1,146,335