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Significant Accounting Policies (Schedule of Acquired Intangible Assets) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 29, 2017
Sep. 30, 2016
Oct. 02, 2015
Acquired Finite Lived Intangible Assets [Line Items]      
Acquired intangible assets beginning balance $ 336,922 $ 353,419 $ 440,192
Acquisitions 35,905 18,172 (5,307)
Amortization (46,095) (47,608) (49,368)
Foreign currency translation 4,305 9,733 (35,517)
Acquired intangible assets ending balance $ 332,920 336,922 353,419
Weighted Average Amortization Period (years) 8 years 3 months 19 days    
Excluding Investment in AWE Management Ltd      
Acquired Finite Lived Intangible Assets [Line Items]      
Amortization $ (44,212) (44,402) (45,949)
Customer Relationships, Contracts, and Backlog      
Acquired Finite Lived Intangible Assets [Line Items]      
Acquired intangible assets beginning balance 307,637 329,341 408,041
Acquisitions 29,803 7,286 (4,315)
Foreign currency translation 3,707 9,605 (34,418)
Acquired intangible assets ending balance $ 301,468 307,637 329,341
Weighted Average Amortization Period (years) 7 years 10 months 24 days    
Customer Relationships, Contracts, and Backlog | Excluding Investment in AWE Management Ltd      
Acquired Finite Lived Intangible Assets [Line Items]      
Amortization $ (39,679) (38,595) (39,967)
Developed Technology      
Acquired Finite Lived Intangible Assets [Line Items]      
Acquired intangible assets beginning balance 14,311 15,845 17,378
Acquisitions 1,685    
Acquired intangible assets ending balance $ 14,462 14,311 15,845
Weighted Average Amortization Period (years) 7 years 8 months 12 days    
Developed Technology | Excluding Investment in AWE Management Ltd      
Acquired Finite Lived Intangible Assets [Line Items]      
Amortization $ (1,534) (1,534) (1,533)
Trade Names      
Acquired Finite Lived Intangible Assets [Line Items]      
Acquired intangible assets beginning balance 4,786 7,599 14,148
Acquisitions 4,417 859 (1,292)
Foreign currency translation 45 147 (1,085)
Acquired intangible assets ending balance $ 6,699 4,786 7,599
Weighted Average Amortization Period (years) 4 years 4 months 24 days    
Trade Names | Excluding Investment in AWE Management Ltd      
Acquired Finite Lived Intangible Assets [Line Items]      
Amortization $ (2,549) (3,819) (4,172)
Patents      
Acquired Finite Lived Intangible Assets [Line Items]      
Acquired intangible assets beginning balance 10,027    
Acquisitions   10,027  
Foreign currency translation 553    
Acquired intangible assets ending balance $ 10,180 10,027  
Weighted Average Amortization Period (years) 24 years    
Patents | Excluding Investment in AWE Management Ltd      
Acquired Finite Lived Intangible Assets [Line Items]      
Amortization $ (400)    
Other      
Acquired Finite Lived Intangible Assets [Line Items]      
Acquired intangible assets beginning balance 161 634 625
Acquisitions     300
Foreign currency translation   (19) (14)
Acquired intangible assets ending balance $ 111 161 634
Weighted Average Amortization Period (years) 2 years 2 months 13 days    
Other | Excluding Investment in AWE Management Ltd      
Acquired Finite Lived Intangible Assets [Line Items]      
Amortization $ (50) $ (454) $ (277)