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Quarterly Results for 2014 and 2013 - Additional Information (Detail) (USD $)
In Millions, unless otherwise specified
3 Months Ended 1 Months Ended
Dec. 31, 2014
Jun. 30, 2014
Condensed Income Statements Captions [Line Items]    
Increase in revenue during period $ 26.9uve_IncreaseInRevenueDuringPeriod  
Increase in operating expenses $ 16.0uve_IncreaseDecreaseInOperatingExpenses  
Maximum [Member]    
Condensed Income Statements Captions [Line Items]    
Percentage of quota-share cession rate   45.00%uve_PercentageOfQuotaShareCessionRate
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
Minimum    
Condensed Income Statements Captions [Line Items]    
Percentage of quota-share cession rate   30.00%uve_PercentageOfQuotaShareCessionRate
/ us-gaap_RangeAxis
= us-gaap_MinimumMember