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Shareholders' Equity (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Authorized Shares [Abstract]      
Total authorized shares 200,000,000pre_TotalSharesAuthorized 200,000,000pre_TotalSharesAuthorized  
Par value per share $ 1.00pre_ParValuePerShare $ 1.00pre_ParValuePerShare  
Common Shares [Abstract]      
Number of shares repurchased 5,200,000us-gaap_TreasuryStockSharesAcquired 7,700,000us-gaap_TreasuryStockSharesAcquired 7,100,000us-gaap_TreasuryStockSharesAcquired
Total cost of shares repurchased $ 551,409,000us-gaap_TreasuryStockValueAcquiredCostMethod $ 695,304,000us-gaap_TreasuryStockValueAcquiredCostMethod $ 532,927,000us-gaap_TreasuryStockValueAcquiredCostMethod
Average cost per share of shares repurchased $ 106.30us-gaap_TreasuryStockAcquiredAverageCostPerShare $ 90.73us-gaap_TreasuryStockAcquiredAverageCostPerShare $ 75.00us-gaap_TreasuryStockAcquiredAverageCostPerShare
Current share repurchase authorization outstanding 3,400,000us-gaap_StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased    
Common shares held in treasury, shares 39,400,936us-gaap_TreasuryStockShares 34,213,611us-gaap_TreasuryStockShares  
Preferred Shares [Abstract]      
Number of preferred shares issued 34,150,000us-gaap_PreferredStockSharesIssued 34,150,000us-gaap_PreferredStockSharesIssued  
Total consideration 0pre_NetProceedsFromIssuanceOfPreferredStock 241,265,000pre_NetProceedsFromIssuanceOfPreferredStock 0pre_NetProceedsFromIssuanceOfPreferredStock
Common Shares [Member]      
Authorized Shares [Abstract]      
Total authorized shares 130,000,000pre_TotalSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
130,000,000pre_TotalSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
 
Designated 6.75% Series C cumulative redeemable preferred shares [Member]      
Preferred Shares [Abstract]      
Date of issuance   May 08, 2003  
Number of preferred shares issued   11,600,000us-gaap_PreferredStockSharesIssued
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
 
Annual dividend rate   6.75%us-gaap_PreferredStockDividendRatePercentage
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
 
Total consideration   280,900,000pre_NetProceedsFromIssuanceOfPreferredStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
 
Underwriting discounts and commissions   9,100,000us-gaap_PaymentsOfStockIssuanceCosts
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
 
Aggregate liquidation value.   290,000,000pre_AggregateRedemptionValueOfPreferredStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
 
Redemption date   Mar. 18, 2013  
Designated 6.5% Series D cumulative redeemable preferred shares      
Authorized Shares [Abstract]      
Total authorized shares 9,200,000pre_TotalSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
9,200,000pre_TotalSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
 
Preferred Shares [Abstract]      
Date of issuance Nov. 09, 2004    
Number of preferred shares issued 9,200,000us-gaap_PreferredStockSharesIssued
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
   
Annual dividend rate 6.50%us-gaap_PreferredStockDividendRatePercentage
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
   
Total consideration 222,300,000pre_NetProceedsFromIssuanceOfPreferredStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
   
Underwriting discounts and commissions 7,700,000us-gaap_PaymentsOfStockIssuanceCosts
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
   
Aggregate liquidation value. 230,000,000pre_AggregateRedemptionValueOfPreferredStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
   
Distribution on liquidation $ 25.00us-gaap_PreferredStockRedemptionPricePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
   
Designated 7.25% Series E cumulative redeemable preferred shares      
Authorized Shares [Abstract]      
Total authorized shares 15,000,000pre_TotalSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
15,000,000pre_TotalSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
 
Preferred Shares [Abstract]      
Date of issuance Jun. 08, 2011    
Number of preferred shares issued 15,000,000us-gaap_PreferredStockSharesIssued
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
   
Annual dividend rate 7.25%us-gaap_PreferredStockDividendRatePercentage
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
   
Total consideration 361,700,000pre_NetProceedsFromIssuanceOfPreferredStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
   
Underwriting discounts and commissions 12,100,000us-gaap_PaymentsOfStockIssuanceCosts
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
   
Aggregate liquidation value. 373,800,000pre_AggregateRedemptionValueOfPreferredStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
   
Distribution on liquidation $ 25.00us-gaap_PreferredStockRedemptionPricePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
   
Designated 5.875% Series F non-cumulative redeemable preferred shares      
Authorized Shares [Abstract]      
Total authorized shares 10,000,000pre_TotalSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesFPreferredStockMember
10,000,000pre_TotalSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesFPreferredStockMember
 
Preferred Shares [Abstract]      
Date of issuance Feb. 14, 2013    
Number of preferred shares issued 10,000,000us-gaap_PreferredStockSharesIssued
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesFPreferredStockMember
   
Annual dividend rate 5.875%us-gaap_PreferredStockDividendRatePercentage
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesFPreferredStockMember
   
Total consideration 242,300,000pre_NetProceedsFromIssuanceOfPreferredStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesFPreferredStockMember
   
Underwriting discounts and commissions 7,700,000us-gaap_PaymentsOfStockIssuanceCosts
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesFPreferredStockMember
   
Aggregate liquidation value. $ 250,000,000pre_AggregateRedemptionValueOfPreferredStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesFPreferredStockMember
   
Distribution on liquidation $ 25.00us-gaap_PreferredStockRedemptionPricePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesFPreferredStockMember
   
Designated and redeemed preference shares [Member]      
Authorized Shares [Abstract]      
Total authorized shares 25,600,000pre_TotalSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= pre_PreferredSharesDesignatedAndRedeemedMember
25,600,000pre_TotalSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= pre_PreferredSharesDesignatedAndRedeemedMember
 
Undesignated [Member]      
Authorized Shares [Abstract]      
Total authorized shares 10,200,000pre_TotalSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= pre_UndesignatedSharesMember
10,200,000pre_TotalSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= pre_UndesignatedSharesMember