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Stock Based Compensation - Changes to United's Restricted Common Shares (Detail) - $ / shares
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted-Average Grant Date Fair Value Per Share, Granted $ 8.85 $ 6.97 $ 7.23
Restricted Stock [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of Shares, Outstanding, Beginning balance 137,268    
Shares, Granted 90,075    
Shares, Vested 56,007    
Shares, Forfeited 840    
Number of Shares, Outstanding, Ending balance 170,496 137,268  
Weighted-Average Grant Date Fair Value Per Share, Outstanding, Beginning balance $ 33.61    
Weighted-Average Grant Date Fair Value Per Share, Granted 45.21    
Weighted-Average Grant Date Fair Value Per Share, Vested 32.48    
Weighted-Average Grant Date Fair Value Per Share, Forfeited 45.30    
Weighted-Average Grant Date Fair Value Per Share, Outstanding, Ending balance $ 40.05 $ 33.61