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Other Long-term Liabilities (Details) (USD $)
In Thousands, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Other Liabilities Disclosure [Abstract]    
Accrued professional liabilities $ 41,802us-gaap_SelfInsuranceReserveNoncurrent $ 0us-gaap_SelfInsuranceReserveNoncurrent
Contingent purchase price payable 8,470us-gaap_BusinessCombinationContingentConsiderationLiabilityNoncurrent 0us-gaap_BusinessCombinationContingentConsiderationLiabilityNoncurrent
Deferred rent 16,814us-gaap_DeferredRentCreditNoncurrent 14,637us-gaap_DeferredRentCreditNoncurrent
Tax-effected unrecognized benefits 8,353us-gaap_LiabilityForUncertainTaxPositionsNoncurrent 6,888us-gaap_LiabilityForUncertainTaxPositionsNoncurrent
Other 14,004amsg_OtherLiabilitiesMiscellaneousNoncurrent 3,978amsg_OtherLiabilitiesMiscellaneousNoncurrent
Other long-term liabilities $ 89,443us-gaap_OtherLiabilitiesNoncurrent $ 25,503us-gaap_OtherLiabilitiesNoncurrent