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CONDENSED CONSOLIDATED STATEMENT OF STOCKHOLDERS' EQUITY (Parenthetical)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Mar. 31, 2015
Mar. 31, 2014
Shares issued during the year (less than 5 million shares) 5us-gaap_StockIssuedDuringPeriodSharesPeriodIncreaseDecrease    
Convertible subordinated notes—4 percent | Convertible senior notes      
Stated interest rate   4.00%us-gaap_DebtInstrumentInterestRateStatedPercentage
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/ us-gaap_ShortTermDebtTypeAxis
= us-gaap_ConvertibleDebtMember
4.00%us-gaap_DebtInstrumentInterestRateStatedPercentage
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= uri_ConvertibleNotes4PercentMember
/ us-gaap_ShortTermDebtTypeAxis
= us-gaap_ConvertibleDebtMember