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Stock-Based Compensation - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended |
--- | --- | ---
May 31, 2022 | May 31, 2021 | May 31, 2020 | Aug. 02, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Weighted-average fair value of stock options granted (in dollars per share) | $ 84.10 | $ 66.52 | $ 48.20 |
Intrinsic value of options exercised | $ 348.3 | $ 402.3 | $ 262.1 |
Proceeds from stock options exercised | 117.7 | 130.0 | 90.5 |
Fair value of vested stock options | 36.7 | 30.5 | 27.8 |
Aggregate intrinsic value of outstanding options | 853.2 |  |  |
Aggregate intrinsic value of exercisable options | $ 443.0 |  |  |
Weighted-average remaining contractual term of stock options exercisable | 4 years |  |  |
Unrecognized compensation cost related to unvested stock options and restricted stock | $ 221.8 |  |  |
Weighted-average period of time unrecognized compensation cost will be recognized | 2 years 1 month 13 days |  |  |
Stock Compensation Plan |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Number of shares authorized under plan (in shares) |  |  |  | 12,500,000
Shares reserved for future issuance (in shares) | 5,966,288 |  |  |
Stock Compensation Plan | Continuing Operations |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Share-based compensation | $ 109.3 | 112.0 | 115.4 |
The total income tax benefit recognized in the consolidated income statement for share-based compensation arrangements | $ 27.9 | $ 28.6 | $ 29.2 |
Stock Options |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Maximum term after grant options may be exercised | 10 years |  |  |
Award expiration term | 10 years |  |  |
Stock Options | Minimum |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Options vesting period | 3 years |  |  |
Stock Options | Maximum |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Options vesting period | 5 years |  |  |
Restricted Stock Awards |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Vesting period of awards | 3 years |  |  |

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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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