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Description of Business, Basis of Presentation, and Significant Accounting Policies (Schedule of Recast of Selected Consolidated Statements of Income and Comprehensive Income) (Details) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 12 Months Ended
May 31, 2019
Feb. 28, 2019
Nov. 30, 2018
Aug. 31, 2018
May 31, 2018
 [1]
Feb. 28, 2018
 [1]
Nov. 30, 2017
 [1]
Aug. 31, 2017
 [1]
May 31, 2019
May 31, 2018
May 31, 2017
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                      
Service revenue $ 958.2 $ 1,047.4 $ 840.6 $ 845.7 $ 828.0 $ 918.0 $ 789.0 $ 779.2 $ 3,691.9 $ 3,314.2 [1],[2] $ 3,102.4 [2],[3]
Operating expenses                 1,177.8 1,018.2 [2] 919.4 [2]
Selling, general and administrative expenses                 1,223.4 1,068.0 [2] 979.7 [2]
Total expenses                 2,401.2 2,086.2 [2] 1,899.1 [2]
Operating income 314.5 429.3 307.2 320.3 302.1 369.0 303.1 317.3 1,371.3 1,291.5 [1],[2] 1,253.9 [2]
Income taxes 80.1 101.0 73.5 79.0 86.9 [4] 4.1 [4] 106.0 [4] 109.0 [4] 333.6 306.0 [1],[2],[4] 432.8 [2],[5]
Net income $ 230.4 $ 324.6 $ 235.8 $ 243.6 $ 217.7 $ 367.2 $ 198.8 $ 210.4 $ 1,034.4 $ 994.1 [1],[2],[6] $ 826.3 [2],[3],[6]
Basic earnings per share $ 0.64 [7] $ 0.90 [7] $ 0.66 [7] $ 0.68 [7] $ 0.61 [7] $ 1.02 [7] $ 0.55 [7] $ 0.59 [7] $ 2.88 [7] $ 2.77 [1],[2],[7] $ 2.30 [2],[3]
Diluted earnings per share $ 0.64 [7] $ 0.90 [7] $ 0.65 [7] $ 0.67 [7] $ 0.60 [7] $ 1.01 [7] $ 0.55 [7] $ 0.58 [7] $ 2.86 [7] $ 2.75 [1],[2],[7] 2.28 [2],[3],[8]
Impact diluted earnings per share amount +/- due to rounding                     $ 0.01
As Previously Reported [Member]                      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                      
Service revenue                   $ 3,317.4 $ 3,100.7
Operating expenses                   1,017.8 919.6
Selling, general and administrative expenses                   1,075.6 992.1
Total expenses                   2,093.4 1,911.7
Operating income                   1,287.5 1,239.6
Income taxes                   362.4 427.5
Net income                   $ 933.7 $ 817.3
Basic earnings per share                   $ 2.60 $ 2.27
Diluted earnings per share                   $ 2.58 $ 2.25 [8]
Adjustments [Member] | ASU 2014-09 [Member]                      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                      
Service revenue                   $ (3.2) $ 1.7
Operating expenses                   0.4 (0.2)
Selling, general and administrative expenses                   (7.6) (12.4)
Total expenses                   (7.2) (12.6)
Operating income                   4.0 14.3
Income taxes                   (56.4) 5.3
Net income                   $ 60.4 $ 9.0
Basic earnings per share                   $ 0.17 $ 0.03
Diluted earnings per share                   $ 0.17 $ 0.02 [8]
[1] Amounts have been adjusted to reflect the adoption of ASC Topic 606.
[2] Amounts have been adjusted to reflect the adoption of Accounting Standards Codification ("ASC") Topic 606, "Revenue from Contracts with Customers" ("ASC Topic 606").
[3] Amounts have been adjusted to reflect the adoption of ASC Topic 606.
[4] As a result of the Tax Act, the effective income tax rate for the three months ended February 28, 2018 was significantly impacted by certain one-time net tax benefits. Refer to Note K of this Item 8 for further details.
[5] Amounts have been adjusted to reflect the adoption of ASC Topic 606.
[6] Amounts have been adjusted to reflect the adoption of Accounting Standards Update ("ASU") No. 2016-18, "Statement of Cash Flows (Topic 230): Restricted Cash (a consensus of the FASB Emerging Issues Task Force)."
[7] Each quarter is a discrete period and the sum of the four quarters' basic and diluted earnings per share amounts may not equal the full year amount.
[8] Diluted earnings per share amounts may not add across by +/- $0.01 due to rounding.