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Stock Based Compensation - Changes to United's Restricted Common Shares (Detail) - Restricted Stock [Member]
3 Months Ended
Mar. 31, 2023
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Number of Shares, Outstanding, Beginning balance | shares 373,220
Shares, Granted | shares 150,697
Shares, Vested | shares (174,529)
Shares, Forfeited | shares (1,506)
Number of Shares, Outstanding, Ending balance | shares 347,882
Weighted-Average Grant Date Fair Value Per Share, Outstanding, Beginning balance | $ / shares $ 35.43
Weighted-Average Grant Date Fair Value Per Share, Granted | $ / shares 40.98
Weighted-Average Grant Date Fair Value Per Share, Vested | $ / shares 35.68
Weighted-Average Grant Date Fair Value Per Share, Forfeited | $ / shares 38.8
Weighted-Average Grant Date Fair Value Per Share, Outstanding, Ending balance | $ / shares $ 37.69