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Concentration of Risk and Segment Data (Segment Income) (Details 4) - USD ($)
 12 Months Ended
Aug. 31, 2017
Aug. 31, 2016
Aug. 31, 2015
Reconciling items:      
Amortization of intangibles $ (35,524,000) $ (37,121,000) $ (24,449,000)
Stock-based compensation expense and related charges (48,544,000) (58,997,000) (62,563,000)
Restructuring and related charges (160,395,000) [1],[2] (11,369,000) [1],[3],[4] (33,066,000)
Distressed customer charges (10,198,000)    
Loss on disposal of subsidiaries (2,112,000)    
Acquisition costs and certain purchase accounting adjustments     5,480,000
Other expense (28,448,000) (8,380,000) (5,627,000)
Interest income 12,525,000 9,128,000 9,953,000
Interest expense (138,074,000) (136,536,000) (128,091,000)
Income from continuing operations before tax 256,233,000 387,045,000 431,646,000
Operating Segments [Member]      
Reconciling items:      
Income from continuing operations before tax 667,003,000 630,320,000 670,009,000
DMS [Member]      
Reconciling items:      
Restructuring and related charges (82,400,000) (800,000) (400,000)
DMS [Member] | Operating Segments [Member]      
Reconciling items:      
Income from continuing operations before tax 230,893,000 256,588,000 372,912,000
EMS [Member]      
Reconciling items:      
Restructuring and related charges (51,300,000) (10,700,000) (32,000,000)
EMS [Member] | Operating Segments [Member]      
Reconciling items:      
Income from continuing operations before tax $ 436,110,000 $ 373,732,000 $ 297,097,000
[1]

(1 ) Includes $ 51.3 million , $ 10.7 million and $ 32.0 million recorded in the EMS segment, $ 82.4 million , $ 0.8 million and $ 0.4 million recorded in the DMS segment and $ 26.7 million , $ (0.1) million and $ 2.2 million of non-allocated charges for the fiscal years ended August 31, 2017 , 2016 and 2015 , respectively. Except for asset write-off costs, all restructuring and related charge s are cash costs.

[2]

(2) Includes employee severance and benefit costs of $ 52.2 million and $ 4.6 million , lease costs of $ 4.0 million and $ 0.0 million , asset write-off costs of $ 94.2 million and $ 0.1 million and other related costs of $ 3.8 million and $ 1.5 million for the 2017 Re structuring Plan and the 2013 Restructuring Plan, respectively.

[3]

(3) Costs relate to the 2013 Restructuring Plan.

[4]

(1 ) Relates only to the 2013 Restructuring Plan.