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Quarterly Financial Data (Quarterly Financial Data) (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
May 31, 2020 | Feb. 29, 2020 | Nov. 30, 2019 | Aug. 31, 2019 | May 31, 2019 | Feb. 28, 2019 | Nov. 30, 2018 | Aug. 31, 2018 | May 31, 2020 | May 31, 2019 | May 31, 2018
Quarterly Financial Data [Abstract] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Service revenue | $ 889.8 |  | $ 1,121.5 |  | $ 970.8 |  | $ 971.5 |  | $ 958.2 |  | $ 1,047.4 |  | $ 840.6 |  | $ 845.7 |  | $ 3,953.6 |  | $ 3,691.9 |  | $ 3,314.2
Interest on funds held for clients | 25.3 |  | 21.2 |  | 19.9 |  | 20.5 |  | 22.2 |  | 23.0 |  | 18.3 |  | 17.1 |  | 86.9 |  | 80.6 |  | 63.5
Total revenue | 915.1 |  | 1,142.7 |  | 990.7 |  | 992.0 |  | 980.4 |  | 1,070.4 |  | 858.9 |  | 862.8 |  | 4,040.5 |  | 3,772.5 |  | 3,377.7
Operating income | 299.6 |  | 470.1 |  | 341.7 |  | 349.1 |  | 314.5 |  | 429.3 |  | 307.2 |  | 320.3 |  | 1,460.5 |  | 1,371.3 |  | 1,291.5
Other (expense)/income, net | (8.0) |  | (5.9) |  | (4.7) |  | (4.8) |  | (4.0) |  | (3.7) |  | 2.1 |  | 2.3 |  | (23.4) |  | (3.3) |  | 8.6
Income before income taxes | 291.6 |  | 464.2 |  | 337.0 |  | 344.3 |  | 310.5 |  | 425.6 |  | 309.3 |  | 322.6 |  | 1,437.1 |  | 1,368.0 |  | 1,300.1
Income taxes | 70.9 |  | 109.7 |  | 78.3 |  | 80.1 |  | 80.1 |  | 101.0 |  | 73.5 |  | 79.0 |  | 339.0 |  | 333.6 |  | 306.0
Net income | $ 220.7 |  | $ 354.5 |  | $ 258.7 |  | $ 264.2 |  | $ 230.4 |  | $ 324.6 |  | $ 235.8 |  | $ 243.6 |  | $ 1,098.1 |  | $ 1,034.4 |  | $ 994.1
Basic earnings per share | $ 0.62 | [1] | $ 0.99 | [1] | $ 0.72 | [1] | $ 0.74 | [1] | $ 0.64 | [1] | $ 0.90 | [1] | $ 0.66 | [1] | $ 0.68 | [1] | $ 3.06 | [1] | $ 2.88 | [1] | $ 2.77
Diluted earnings per share | $ 0.61 | [1] | $ 0.98 | [1] | $ 0.72 | [1] | $ 0.73 | [1] | $ 0.64 | [1] | $ 0.90 | [1] | $ 0.65 | [1] | $ 0.67 | [1] | $ 3.04 | [1] | $ 2.86 | [1] | $ 2.75
Weighted-average common shares outstanding | 358.7 |  | 358.5 |  | 358.1 |  | 358.6 |  | 359.4 |  | 359.2 |  | 359.1 |  | 359.1 |  | 358.5 |  | 359.2 |  | 359.0
Weighted-average common shares outstanding, assuming dilution | 360.7 |  | 361.0 |  | 360.6 |  | 361.5 |  | 362.5 |  | 361.6 |  | 361.5 |  | 361.5 |  | 361.0 |  | 361.8 |  | 361.5
Quarterly dividend per share | $ 0.62 |  | $ 0.62 |  | $ 0.62 |  | $ 0.62 |  | $ 0.62 |  | $ 0.56 |  | $ 0.56 |  | $ 0.56 |  | $ 2.48 |  | $ 2.30 |  |
Total net realized gains | $ 8.9 | [2] | $ 0.6 | [2] | $ 0.9 | [2] | $ 0.9 | [2] | $ 0.1 | [2] | $ 0.1 | [2] | $ (0.3) | [2] | $ 0.1 | [2] | $ 11.3 | [2] |  |  | $ 0.1
[1] | 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.
[2] | Total net realized gains/(losses) on the combined funds held for clients and corporate investment portfolios.

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