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Financial Data By Segment (Financial Data By Strategic Business Unit Segment) (Details)
$ in Millions
3 Months Ended 12 Months Ended
Jun. 30, 2019
USD ($)
Mar. 31, 2019
USD ($)
Dec. 31, 2018
USD ($)
Sep. 30, 2018
USD ($)
Jun. 30, 2018
USD ($)
Mar. 31, 2018
USD ($)
Dec. 31, 2017
USD ($)
Sep. 30, 2017
USD ($)
Jun. 30, 2019
USD ($)
segment
Jun. 30, 2018
USD ($)
Jun. 30, 2017
USD ($)
Segment Reporting Information [Line Items]                      
TOTAL REVENUES $ 3,498.7 $ 3,847.4 $ 3,505.9 $ 3,323.2 $ 3,316.2 $ 3,696.0 $ 3,238.3 $ 3,077.2 $ 14,175.2 $ 13,327.7 $ 12,372.0
EARNINGS FROM CONTINUING OPERATIONS BEFORE INCOME TAXES 633.3 $ 984.5 $ 741.0 $ 646.8 254.9 $ 875.2 $ 587.5 $ 564.9 3,005.6 2,282.6 2,616.9
Total assets 41,887.7       38,849.1       41,887.7 38,849.1 38,886.9
Capital Expenditures from continuing operations                 162.7 191.9 249.0
Depreciation, Depletion and Amortization                 $ 409.0 377.6 316.1
Number of Reportable Segments | segment                 2    
Employer Services [Member]                      
Segment Reporting Information [Line Items]                      
TOTAL REVENUES                 $ 9,942.8 9,454.8 8,914.2
EARNINGS FROM CONTINUING OPERATIONS BEFORE INCOME TAXES                 2,957.0 2,598.1 2,396.8
Total assets 34,606.3       31,984.2       34,606.3 31,984.2 31,724.3
Capital Expenditures from continuing operations                 98.2 113.9 83.0
Depreciation, Depletion and Amortization                 321.0 291.9 247.3
PEO Services [Member]                      
Segment Reporting Information [Line Items]                      
TOTAL REVENUES                 4,242.7 3,882.3 3,468.4
EARNINGS FROM CONTINUING OPERATIONS BEFORE INCOME TAXES                 620.1 544.6 463.4
Total assets 1,584.1       1,329.8       1,584.1 1,329.8 1,160.4
Capital Expenditures from continuing operations                 0.0 0.0 0.2
Depreciation, Depletion and Amortization                 3.5 3.0 1.3
Other [Member]                      
Segment Reporting Information [Line Items]                      
TOTAL REVENUES                 10.3 (9.4) (10.6)
EARNINGS FROM CONTINUING OPERATIONS BEFORE INCOME TAXES                 (571.5) (860.1) (243.3)
Total assets $ 5,697.3       $ 5,535.1       5,697.3 5,535.1 6,002.2
Capital Expenditures from continuing operations                 64.5 78.0 165.8
Depreciation, Depletion and Amortization                 $ 84.5 $ 82.7 $ 67.5