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Goodwill and Intangible Assets, Net (Schedule of Finite-Lived Intangible Assets, Net) (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Finite-Lived intangible Assets Rollforward      
Acquisitions (Note 4) $ 82 [1] $ 67 [2]  
Acquisitions (Note 5) 82 [1] 67 [2]  
Exchange rate changes 62 (13)  
Gross asset value 777 633 $ 579
Amortization (20) (9) (11)
Exchange rate changes (47) 13  
Accumulated amortization (591) (524) (528)
Net book value 186    
Licenses [Member]      
Finite-Lived intangible Assets Rollforward      
Acquisitions (Note 4) 0 0  
Acquisitions (Note 5) 0 0  
Exchange rate changes 2 (2)  
Gross asset value 38 36 38
Amortization (4) (3)  
Exchange rate changes (2) 1  
Accumulated amortization (33) (27) (25)
Net book value 5    
Customer-Related Intangible Assets [Member]      
Finite-Lived intangible Assets Rollforward      
Acquisitions (Note 4) 73 64  
Acquisitions (Note 5) 73 64  
Exchange rate changes 58 (11)  
Gross asset value 640 509 456
Amortization (11) (2)  
Exchange rate changes (45) 11  
Accumulated amortization (496) (440) (449)
Net book value 144    
Developed Technology [Member]      
Finite-Lived intangible Assets Rollforward      
Acquisitions (Note 4) 9 0  
Acquisitions (Note 5) 9 0  
Exchange rate changes 1 0  
Gross asset value 45 35 35
Amortization (3) (2)  
Exchange rate changes (1) 1  
Accumulated amortization (30) (26) (25)
Net book value 15    
Covenants Not to Compete and Other [Member]      
Finite-Lived intangible Assets Rollforward      
Acquisitions (Note 4) 0 3  
Acquisitions (Note 5) 0 3  
Exchange rate changes 1 0  
Gross asset value 54 53 50
Amortization (2) (2)  
Exchange rate changes 1 0  
Accumulated amortization (32) $ (31) $ (29)
Net book value $ 22    
SO.F.TER. S.p.A. [Member]      
Finite-Lived intangible Assets Rollforward      
Weighted average life of intangible assets acquired   12 years  
Nilit [Member]      
Finite-Lived intangible Assets Rollforward      
Weighted average life of intangible assets acquired 14 years    
[1] Primarily related to intangible assets acquired from Nilit (Note 4) during the year ended December 31, 2017, with a weighted average amortization period of 14 years.
[2] Primarily related to intangible assets acquired from SOFTER (Note 4) during the year ended December 31, 2016, with a weighted average amortization period of 12 years.