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Shareholder's Equity (Narrative) (Details) (USD $)
12 Months Ended 0 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Jul. 02, 2014
Aug. 29, 2014
Jul. 16, 2014
Aug. 09, 2013
Apr. 24, 2012
Common Stock:                
Stock repurchased program authorized by the board of directors             $ 40,000,000.0us-gaap_StockRepurchaseProgramAuthorizedAmount1 $ 40,000,000.0us-gaap_StockRepurchaseProgramAuthorizedAmount1
Amount remaining under stock repurchase plan 27,100,000us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1              
Mandatory Convertible Preferred Stock                
Preferred stock dividends 4,503,000us-gaap_PreferredStockDividendsAndOtherAdjustments 0us-gaap_PreferredStockDividendsAndOtherAdjustments 0us-gaap_PreferredStockDividendsAndOtherAdjustments          
Stock Incentive Plans:                
Restricted marketable securities 3,000,000us-gaap_MarketableSecuritiesRestrictedCurrent              
Excess tax benefit from share-based compensation 3,177,000us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities 7,247,000us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities 1,784,000us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities          
Number of shares authorized for grant under share incentive plan 1,200,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized              
Shares available for future grants/issuance under stock incentive plan 1,132,862us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant              
Unrecognized compensation cost on non vested awards 8,400,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized              
Weighted average period 1 year 2 months 12 days              
Stock Repurchased Under Repurchase Program [Member]                
Common Stock:                
Repurchase of common stock, shares   1,154,378us-gaap_StockRepurchasedDuringPeriodShares
/ amsg_ScheduleOfStockRepurchaseAxisAxis
= amsg_StockRepurchasedUnderRepurchaseProgramMemberMember
           
Repurchase of common stock   42,700,000us-gaap_StockRepurchasedDuringPeriodValue
/ amsg_ScheduleOfStockRepurchaseAxisAxis
= amsg_StockRepurchasedUnderRepurchaseProgramMemberMember
           
Average price per share   $ 36.93amsg_AveragePricePerShareRepurchased
/ amsg_ScheduleOfStockRepurchaseAxisAxis
= amsg_StockRepurchasedUnderRepurchaseProgramMemberMember
           
Stock Repurchased To Cover Employee Tax Withholdings [Member]                
Common Stock:                
Repurchase of common stock, shares 100,720us-gaap_StockRepurchasedDuringPeriodShares
/ amsg_ScheduleOfStockRepurchaseAxisAxis
= amsg_StockRepurchasedToCoverEmployeeTaxWithholdingsMember
102,252us-gaap_StockRepurchasedDuringPeriodShares
/ amsg_ScheduleOfStockRepurchaseAxisAxis
= amsg_StockRepurchasedToCoverEmployeeTaxWithholdingsMember
           
Repurchase of common stock 4,600,000us-gaap_StockRepurchasedDuringPeriodValue
/ amsg_ScheduleOfStockRepurchaseAxisAxis
= amsg_StockRepurchasedToCoverEmployeeTaxWithholdingsMember
3,300,000us-gaap_StockRepurchasedDuringPeriodValue
/ amsg_ScheduleOfStockRepurchaseAxisAxis
= amsg_StockRepurchasedToCoverEmployeeTaxWithholdingsMember
           
Stock Options [Member]                
Stock Incentive Plans:                
Award vesting period 4 years              
Options term 10 years              
Outside Directors [Member] | Restricted Stock [Member]                
Stock Incentive Plans:                
Award vesting period 1 year              
Employees [Member] | Restricted Stock [Member]                
Stock Incentive Plans:                
Award vesting period 4 years              
Number of installments in restricted stock granted. 3amsg_NumberOfInstallmentsInRestrictedStockGranted
/ us-gaap_DeferredCompensationArrangementWithIndividualShareBasedPaymentsByTypeOfDeferredCompensationAxis
= us-gaap_RestrictedStockMember
/ us-gaap_TitleOfIndividualAxis
= amsg_EmployeesMember
             
Stock Options [Member]                
Stock Incentive Plans:                
Number of anti-dilutive options 0us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_EmployeeStockOptionMember
0us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_EmployeeStockOptionMember
20,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_EmployeeStockOptionMember
         
Common Stock [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Issuance of stock (in shares)       9,775,000us-gaap_StockIssuedDuringPeriodSharesNewIssues
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
       
Issuance of stock, price per share       $ 45.00amsg_StockIssuedDuringPeriodPricePerShareNewIssues
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
       
Stock offering expenses       18,500,000amsg_StockIssuedDuringPeriodNewIssueExpenses
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
       
Mandatory Convertible Preferred Stock [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Issuance of stock (in shares)       1,725,000us-gaap_StockIssuedDuringPeriodSharesNewIssues
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ConvertiblePreferredStockMember
       
Issuance of stock, price per share       $ 100.00amsg_StockIssuedDuringPeriodPricePerShareNewIssues
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ConvertiblePreferredStockMember
       
Stock offering expenses       5,900,000amsg_StockIssuedDuringPeriodNewIssueExpenses
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ConvertiblePreferredStockMember
       
Mandatory Convertible Preferred Stock                
Dividend rate 5.25%us-gaap_PreferredStockDividendRatePercentage
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ConvertiblePreferredStockMember
             
Initial liquidation preference (usd per share) $ 100us-gaap_PreferredStockLiquidationPreference
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ConvertiblePreferredStockMember
             
Consecutive trading day 20 days              
Dividends declared (usd per share)         $ 1.2979us-gaap_PreferredStockDividendsPerShareDeclared
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ConvertiblePreferredStockMember
     
Preferred stock dividends         2,200,000us-gaap_PreferredStockDividendsAndOtherAdjustments
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ConvertiblePreferredStockMember
     
Future preferred stock dividends (usd per share) $ 1.3125amsg_PreferredStockDividendsPerShareFutureQuarterlyAmount
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ConvertiblePreferredStockMember
             
Future preferred stock dividends         $ 2,300,000amsg_PreferredStockDividendsAndOtherAdjustmentsFutureQuarterlyAmount
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ConvertiblePreferredStockMember
     
Sheridan Healthcare [Member] | Common Stock [Member]                
Common Stock:                
Shares of common stock issued for acquisition           5,713,909us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued
/ us-gaap_BusinessAcquisitionAxis
= amsg_SheridanHealthcareMember
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
   
Minimum [Member] | Mandatory Convertible Preferred Stock [Member]                
Mandatory Convertible Preferred Stock                
Conversion rate (shares) 1.8141us-gaap_ConvertiblePreferredStockSharesIssuedUponConversion
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ConvertiblePreferredStockMember
             
Maximum [Member] | Mandatory Convertible Preferred Stock [Member]                
Mandatory Convertible Preferred Stock                
Conversion rate (shares) 2.2222us-gaap_ConvertiblePreferredStockSharesIssuedUponConversion
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ConvertiblePreferredStockMember