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Acquisitions and Divestitures - Aggregate Purchase Price for Businesses Acquired (Details) - USD ($)
$ in Thousands
May 31, 2018
May 31, 2017
May 31, 2016
Business Acquisition [Line Items]      
Net goodwill recognized $ 2,846,888 $ 2,782,335 $ 1,276,076
Series of Business Acquisitions      
Business Acquisition [Line Items]      
Fair value of tangible assets acquired 421 550,491  
Net goodwill recognized 12,094 1,507,554  
Total fair value of assets acquired 22,678 2,604,836  
Fair value of liabilities assumed 3,332 502,465  
Total cash paid for acquisitions, net of cash acquired 19,346 2,102,371  
Series of Business Acquisitions | Service contracts      
Business Acquisition [Line Items]      
Fair value of intangible assets acquired 9,271 529,235  
Series of Business Acquisitions | Other intangibles      
Business Acquisition [Line Items]      
Fair value of intangible assets acquired $ 892 $ 17,556