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Goodwill and Other Intangible Assets (Goodwill) (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Goodwill [Roll Forward]        
Balance at beginning of period $ 4,082 $ 3,260 $ 3,243  
Goodwill related to acquisitions 999 805 9  
Foreign currency translation and other adjustments (23) 17 8  
Balance at end of period 5,058 4,082 3,260  
Goodwill accumulated impairment loss 1,557 1,557 1,557 $ 1,557
General rentals        
Goodwill [Roll Forward]        
Balance at beginning of period 3,607 2,797 2,786  
Goodwill related to acquisitions 752 797 5  
Foreign currency translation and other adjustments (17) 13 6  
Balance at end of period 4,342 3,607 2,797  
Trench, power and fluid solutions        
Goodwill [Roll Forward]        
Balance at beginning of period 475 463 457  
Goodwill related to acquisitions 247 8 4  
Foreign currency translation and other adjustments (6) 4 2  
Balance at end of period $ 716 $ 475 $ 463  
Trademarks and Trade Names [Member]        
Goodwill [Line Items]        
Weighted-Average Remaining Amortization Period 5 years