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Goodwill, Service Contracts and Other Assets - Narrative (Details) - USD ($) $ in Thousands | 12 Months Ended
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May 31, 2017 | May 31, 2016 | May 31, 2015
Finite-Lived Intangible Assets [Line Items] |  |  |
Goodwill | $ 2,782,335 | $ 1,276,076 | $ 1,180,094
Continuing Operations |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Amortization of intangible assets | 22,800 | 14,200 | $ 12,100
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract] |  |  |
Estimated amortization expense, year one | 60,000 |  |
Estimated amortization expense, year two | 60,100 |  |
Estimated amortization expense, year three | 59,500 |  |
Estimated amortization expense, year four | 53,700 |  |
Estimated amortization expense, year five | 53,100 |  |
Discontinued Operations, Held-for-sale |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Goodwill | $ 15,500 | $ 15,500 |

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