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Related Party Transactions (Related Party Payments) (Details) (USD $)
In Thousands, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Related Party Transactions [Abstract]      
Operating leases $ 27,559amsg_RelatedPartyTransactionOperatingLeaseExpenseFromTransactionsWithRelatedParty $ 29,240amsg_RelatedPartyTransactionOperatingLeaseExpenseFromTransactionsWithRelatedParty $ 29,079amsg_RelatedPartyTransactionOperatingLeaseExpenseFromTransactionsWithRelatedParty
Salaries and benefits 66,763amsg_RelatedPartyTransactionSalariesAndBenefitsExpenseFromTransactionsWithRelatedParty 72,892amsg_RelatedPartyTransactionSalariesAndBenefitsExpenseFromTransactionsWithRelatedParty 65,908amsg_RelatedPartyTransactionSalariesAndBenefitsExpenseFromTransactionsWithRelatedParty
Billing fees 9,899amsg_RelatedPartyTransactionBillingFeesExpenseFromTransactionsWithRelatedParty 11,591amsg_RelatedPartyTransactionBillingFeesExpenseFromTransactionsWithRelatedParty 11,126amsg_RelatedPartyTransactionBillingFeesExpenseFromTransactionsWithRelatedParty
Medical advisory services $ 2,811amsg_RelatedPartyTransactionMedicalAdvisoryServicesExpenseFromTransactionsWithRelatedParty $ 2,993amsg_RelatedPartyTransactionMedicalAdvisoryServicesExpenseFromTransactionsWithRelatedParty $ 2,671amsg_RelatedPartyTransactionMedicalAdvisoryServicesExpenseFromTransactionsWithRelatedParty