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Acquisitions and Divestitures - Aggregate Purchase Price for Businesses Acquired (Details) - USD ($)
$ in Thousands
May 31, 2017
May 31, 2016
May 31, 2015
Business Acquisition [Line Items]      
Net goodwill recognized $ 2,782,335 $ 1,276,076 $ 1,180,094
Series of Business Acquisitions      
Business Acquisition [Line Items]      
Fair value of tangible assets acquired 550,491 26,759  
Net goodwill recognized 1,507,554 97,097  
Total fair value of assets acquired 2,604,836 184,189  
Fair value of liabilities assumed 502,465 27,610  
Total cash paid for acquisitions 2,102,371 156,579  
Service contracts | Series of Business Acquisitions      
Business Acquisition [Line Items]      
Fair value of intangible assets acquired 529,235 55,694  
Other intangibles | Series of Business Acquisitions      
Business Acquisition [Line Items]      
Fair value of intangible assets acquired $ 17,556 $ 4,639