XML 86 R96.htm IDEA: XBRL DOCUMENT v2.4.1.9
Stock-Based Compensation (Narrative) (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense $ 80,153,000us-gaap_ShareBasedCompensation $ 68,138,000us-gaap_ShareBasedCompensation $ 51,983,000us-gaap_ShareBasedCompensation
Stock based compensation expenses related to modification of the vesting and exercise terms for a certain employee's equity awards   1,100,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardPlanModificationIncrementalCompensationCost  
Capitalized stock-based compensation expense 1,600,000us-gaap_EmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsCapitalizedAmount    
Number of shares issuable under stock incentive plan 14,300,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized    
Accelerated recognition of stock-based compensation expense, retirement eligibility 14,800,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAcceleratedCompensationCost 7,800,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAcceleratedCompensationCost  
Employee Stock Option      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 4 years    
Weighted average grant date fair value (in dollars per share) $ 14.86us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
$ 19.05us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
$ 17.46us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Intrinsic value of stock options exercised 58,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
42,100,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
59,500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Total unrecognized compensation expense 32,100,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
   
Expected recognition of stock award compensation expense weighted average period in years 2 years 0 months 0 days    
Employee service share-based compensation, cash received from exercise of stock options 56,600,000us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
   
Restricted Stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 4 years 0 months 0 days    
Total unrecognized compensation expense 76,300,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
   
Expected recognition of stock award compensation expense weighted average period in years 2 years 0 months 0 days    
Total fair value of restricted stock units vested during period 58,600,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
   
Employee Stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Employee stock purchase plan employee discount 15.00%amt_EmployeeStockPurchasePlanEmployeeDiscount
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
   
Employee purchase shares not exceeding of gross compensation 15.00%amt_PercentageOfEmployeePurchasesNotToExceedGrossCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
   
Employee purchase value not exceeding $ 25,000amt_MaximumEmployeePurchaseValueDuringPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
   
Number of shares purchased by employees under the Employee Stock Purchase Plan 81,000us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
78,000us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
88,000us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
Weighted average prices per share for the ESPP $ 70.48us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardPerShareWeightedAveragePriceOfSharesPurchased
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
$ 64.74us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardPerShareWeightedAveragePriceOfSharesPurchased
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
$ 51.59us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardPerShareWeightedAveragePriceOfSharesPurchased
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
Employee stock purchase plan offering, expense recognition period, months 6 months    
Employee stock purchase plan, fair value per share (in dollars per share) $ 14.83amt_PurchaseSharesFairValuePricePerShareESPP
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
$ 13.42amt_PurchaseSharesFairValuePricePerShareESPP
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
$ 13.64amt_PurchaseSharesFairValuePricePerShareESPP
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
Employee stock purchase plan, shares remain reserved for future issuance 3,400,000amt_EmployeeStockPurchasePlanSharesRemainReservedForFutureIssuance
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
   
Employee Stock Option      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expiration period 10 years