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Quarterly Financial Data (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
May 31, 2016 | Feb. 29, 2016 | Nov. 30, 2015 | Aug. 31, 2015 | May 31, 2015 | Feb. 28, 2015 | Nov. 30, 2014 | Aug. 31, 2014 | May 31, 2016 | May 31, 2015 | May 31, 2014
Quarterly Financial Data [Abstract] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Service revenue | $ 741.6 |  | $ 740.7 |  | $ 711.3 |  | $ 712.2 |  | $ 681.4 |  | $ 693.6 |  | $ 665.9 |  | $ 656.6 |  | $ 2,905.8 |  | $ 2,697.5 |  | $ 2,478.2
Interest on funds held for clients | 12.3 |  | 11.9 |  | 11.1 |  | 10.8 |  | 10.8 |  | 10.7 |  | 10.4 |  | 10.2 |  | 46.1 |  | 42.1 |  | 40.7
Total revenue | 753.9 |  | 752.6 |  | 722.4 |  | 723.0 |  | 692.2 |  | 704.3 |  | 676.3 |  | 666.8 |  | 2,951.9 |  | 2,739.6 |  | 2,518.9
Operating income | 276.3 |  | 280.0 |  | 294.2 |  | 296.1 |  | 251.6 |  | 264.3 |  | 270.2 |  | 267.5 |  | 1,146.6 |  | 1,053.6 |  | 982.7
Investment income/(loss), net | (0.2) |  | 1.7 |  | 1.6 |  | 1.4 |  | 2.0 |  | 1.6 |  | 1.4 |  | 1.4 |  | 4.5 |  | 6.4 |  | 5.4
Income before income taxes | 276.1 |  | 281.7 |  | 295.8 |  | 297.5 |  | 253.6 |  | 265.9 |  | 271.6 |  | 268.9 |  | 1,151.1 |  | 1,060.0 |  | 988.1
Income taxes | 98.0 |  | 101.3 |  | 106.6 |  | 88.4 |  | 92.4 |  | 96.5 |  | 98.6 |  | 97.6 |  | 394.3 |  | 385.1 |  | 360.6
Net income | $ 178.1 |  | $ 180.4 |  | $ 189.2 |  | $ 209.1 |  | $ 161.2 |  | $ 169.4 |  | $ 173.0 |  | $ 171.3 |  | $ 756.8 |  | $ 674.9 |  | $ 627.5
Basic earnings per share | $ 0.49 | [1] | $ 0.50 | [1] | $ 0.52 | [1] | $ 0.58 | [1] | $ 0.44 | [1] | $ 0.47 | [1] | $ 0.48 | [1] | $ 0.47 | [1] | $ 2.10 | [1] | $ 1.86 | [1] | $ 1.72
Diluted earnings per share | $ 0.49 | [1] | $ 0.50 | [1] | $ 0.52 | [1] | $ 0.58 | [1] | $ 0.44 | [1] | $ 0.46 | [1] | $ 0.47 | [1] | $ 0.47 | [1] | $ 2.09 | [1] | $ 1.85 | [1] | $ 1.71
Weighted-average common shares outstanding | 360.3 |  | 360.5 |  | 360.7 |  | 361.1 |  | 362.3 |  | 363.2 |  | 363.0 |  | 363.1 |  | 360.7 |  | 362.9 |  | 364.5
Weighted-average common shares outstanding, assuming dilution | 360.7 |  | 362.2 |  | 362.3 |  | 362.8 |  | 364.5 |  | 365.0 |  | 364.6 |  | 364.7 |  | 362.5 |  | 364.6 |  | 366.1
Cash dividends per common share | $ 0.42 |  | $ 0.42 |  | $ 0.42 |  | $ 0.42 |  | $ 0.38 |  | $ 0.38 |  | $ 0.38 |  | $ 0.38 |  | $ 1.68 |  | $ 1.52 |  | $ 1.40
Total net realized gains |  |  | $ 0.1 | [2] |  |  |  |  | $ 0.1 | [2] |  |  | $ 0.1 | [2] | $ 0.1 | [2] | $ 0.1 | [2] | $ 0.3 | [2] | $ 0.6
[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 on the combined funds held for clients and corporate investment portfolios.

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