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Shareholders' Equity (Details) (USD $)
3 Months Ended 12 Months Ended 0 Months Ended 12 Months Ended
Jun. 30, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 12, 2012
Dec. 31, 2011
Feb. 17, 2014
May 23, 2013
May 22, 2013
Feb. 19, 2013
Feb. 16, 2015
Nov. 18, 2014
May 31, 2012
Feb. 18, 2013
Jun. 15, 2012
Common stock, shares authorized   305,000,000us-gaap_CommonStockSharesAuthorized 305,000,000us-gaap_CommonStockSharesAuthorized         305,000,000.0us-gaap_CommonStockSharesAuthorized 120,000,000.0us-gaap_CommonStockSharesAuthorized            
Stock split, conversion ratio 3us-gaap_StockholdersEquityNoteStockSplitConversionRatio1                            
Common Stock Dividends, Shares, Percentage 200.00%fls_CommonStockDividendsSharesPercentage                            
Stock Issued During Period, Shares, Stock Splits 117,861,772us-gaap_StockIssuedDuringPeriodSharesStockSplits                            
Common shares, par value $ 1.25us-gaap_CommonStockParOrStatedValuePerShare $ 1.25us-gaap_CommonStockParOrStatedValuePerShare $ 1.25us-gaap_CommonStockParOrStatedValuePerShare                        
Adjustments to Additional Paid in Capital, Stock Split $ 147,300,000us-gaap_AdjustmentsToAdditionalPaidInCapitalStockSplit                            
Dividend Per Common Share Minimum             $ 0.14fls_DividendPerCommonShareMinimum     $ 0.12fls_DividendPerCommonShareMinimum          
Dividend Per Common Share Maximum             $ 0.16fls_DividendPerCommonShareMaximum     $ 0.14fls_DividendPerCommonShareMaximum          
Stock Repurchase Program, Remaining Authorized Repurchase Amount   464,400,000us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1                          
Treasury stock, acquired   246,504,000us-gaap_TreasuryStockValueAcquiredCostMethod 458,310,000us-gaap_TreasuryStockValueAcquiredCostMethod 771,942,000us-gaap_TreasuryStockValueAcquiredCostMethod                      
Subsequent Event                              
Dividend Per Common Share Minimum                     $ 0.16fls_DividendPerCommonShareMinimum
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
       
Dividend Per Common Share Maximum                     $ 0.18fls_DividendPerCommonShareMaximum
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
       
Share Repurchase Program 2012                              
Stock Repurchase Program, Authorized Amount                         1,000,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= fls_ShareRepurchaseProgram2012Member
   
Stock Repurchase Program, Remaining Authorized Repurchase Amount                       175,000,000us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= fls_ShareRepurchaseProgram2012Member
     
Treasury stock, shares acquired         8,142,723us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= fls_ShareRepurchaseProgram2012Member
                   
Treasury stock, acquired     458,300,000us-gaap_TreasuryStockValueAcquiredCostMethod
/ us-gaap_ShareRepurchaseProgramAxis
= fls_ShareRepurchaseProgram2012Member
                       
Share repurchase program 2013                              
Stock Repurchase Program, Authorized Amount                       500,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= fls_ShareRepurchaseProgram2013Member
  750,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= fls_ShareRepurchaseProgram2013Member
 
Treasury stock, shares acquired   3,420,656us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= fls_ShareRepurchaseProgram2013Member
                         
Treasury stock, acquired   246,500,000us-gaap_TreasuryStockValueAcquiredCostMethod
/ us-gaap_ShareRepurchaseProgramAxis
= fls_ShareRepurchaseProgram2013Member
                         
ASR Program                              
Stock Repurchase Program, Authorized Amount                             300,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= fls_AcceleratedShareRepurchaseProgramMember
Treasury stock, shares acquired     7,243,191us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= fls_AcceleratedShareRepurchaseProgramMember
                       
Treasury stock acquired, weighted average price per share     $ 42.31us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= fls_AcceleratedShareRepurchaseProgramMember
                       
Share Repurchase Program 2011                              
Treasury stock, shares acquired           18,638,340us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= fls_ShareRepurchaseProgram2011Member
                 
Treasury stock, acquired           $ 771,900,000us-gaap_TreasuryStockValueAcquiredCostMethod
/ us-gaap_ShareRepurchaseProgramAxis
= fls_ShareRepurchaseProgram2011Member