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Quarterly Financial Data (Tables)
 12 Months Ended
May 31, 2020
Quarterly Financial Data [Abstract]  
Quarterly Financial Data

Three Months Ended

Fiscal 2020

August 31

November 30

February 29

May 31

Full Year

Service revenue

$

971.5

$

970.8

$

1,121.5

$

889.8

$

3,953.6

Interest on funds held for clients

20.5

19.9

21.2

25.3

86.9

Total revenue

$

992.0

$

990.7

$

1,142.7

$

915.1

$

4,040.5

Operating income

$

349.1

$

341.7

$

470.1

$

299.6

$

1,460.5

Other expense, net

(4.8)

(4.7)

(5.9)

(8.0)

(23.4)

Income before income taxes

344.3

337.0

464.2

291.6

1,437.1

Income taxes

80.1

78.3

109.7

70.9

339.0

Net income

$

264.2

$

258.7

$

354.5

$

220.7

$

1,098.1

Basic earnings per share(1)

$

0.74

$

0.72

$

0.99

$

0.62

$

3.06

Diluted earnings per share(1)

$

0.73

$

0.72

$

0.98

$

0.61

$

3.04

Weighted-average common shares
‎   outstanding

358.6

358.1

358.5

358.7

358.5

Weighted-average common shares
‎   outstanding, assuming dilution

361.5

360.6

361.0

360.7

361.0

Cash dividends per common share

$

0.62

$

0.62

$

0.62

$

0.62

$

2.48

Total net realized gains(2)

$

0.9

$

0.9

$

0.6

$

8.9

$

11.3

Three Months Ended

Fiscal 2019

August 31

November 30

February 28

May 31

Full Year

Service revenue

$

845.7

$

840.6

$

1,047.4

$

958.2

$

3,691.9

Interest on funds held for clients

17.1

18.3

23.0

22.2

80.6

Total revenue

$

862.8

$

858.9

$

1,070.4

$

980.4

$

3,772.5

Operating income

$

320.3

$

307.2

$

429.3

$

314.5

$

1,371.3

Other income/(expense), net

2.3

2.1

(3.7)

(4.0)

(3.3)

Income before income taxes

322.6

309.3

425.6

310.5

1,368.0

Income taxes

79.0

73.5

101.0

80.1

333.6

Net income

$

243.6

$

235.8

$

324.6

$

230.4

$

1,034.4

Basic earnings per share(1)

$

0.68

$

0.66

$

0.90

$

0.64

$

2.88

Diluted earnings per share(1)

$

0.67

$

0.65

$

0.90

$

0.64

$

2.86

Weighted-average common shares
‎   outstanding

359.1

359.1

359.2

359.4

359.2

Weighted-average common shares
‎   outstanding, assuming dilution

361.5

361.5

361.6

362.5

361.8

Cash dividends per common share

$

0.56

$

0.56

$

0.56

$

0.62

$

2.30

Total net realized gains/(losses)(2)

$

0.1

$

(0.3)

$

0.1

$

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.