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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 |

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