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Goodwill, Service Contracts and Other Assets - Estimated Future Amortization Expense (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
--- | --- | ---
Feb. 28, 2022 | Feb. 28, 2021 | Feb. 28, 2022 | Feb. 28, 2021
Goodwill, Service Contracts And Other Assets [Abstract] |  |  |  |
Amortization expense for service contracts and other assets | $ 38,000 | $ 35,600 | $ 111,400 | $ 106,000
2022 (remaining three months) | 36,700 |  | 36,700 |
2023 | 134,129 |  | 134,129 |
2024 | 121,678 |  | 121,678 |
2025 | 107,037 |  | 107,037 |
2026 | 89,415 |  | 89,415 |
Thereafter | 237,557 |  | 237,557 |
Total future amortization expense | $ 726,516 |  | $ 726,516 |

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- Definition The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=123570139&loc=d3e3602-108585 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(2) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 45 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=6388964&loc=d3e16225-109274 + Details
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