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Accrued Professional Liabilities - Components of Reserves (Details) (USD $)
In Thousands, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Payables and Accruals [Abstract]    
Estimated losses under self-insured programs $ 26,199amsg_SelfInsuranceReserveEstimatedClaimLosses  
Incurred but not reported losses 31,342amsg_SelfInsuranceReserveIncurredButNotReportedClaims  
Total accrued professional liabilities 57,541us-gaap_SelfInsuranceReserve 53,785us-gaap_SelfInsuranceReserve
Less estimated losses payable within one year 10,957us-gaap_SelfInsuranceReserveCurrent  
Total $ 46,584us-gaap_SelfInsuranceReserveNoncurrent