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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, 2018
USD ($)
Mar. 31, 2018
USD ($)
Dec. 31, 2017
USD ($)
Sep. 30, 2017
USD ($)
Jun. 30, 2017
USD ($)
Mar. 31, 2017
USD ($)
Dec. 31, 2016
USD ($)
Sep. 30, 2016
USD ($)
Jun. 30, 2018
USD ($)
segment
Jun. 30, 2017
USD ($)
Jun. 30, 2016
USD ($)
Segment Reporting Information [Line Items]                      
TOTAL REVENUES $ 3,318.6 $ 3,693.0 $ 3,235.4 $ 3,078.8 $ 3,064.8 $ 3,410.8 $ 2,987.3 $ 2,916.9 $ 13,325.8 $ 12,379.8 $ 11,667.8
EARNINGS FROM CONTINUING OPERATIONS BEFORE INCOME TAXES 204.5 $ 852.6 $ 565.7 $ 548.2 388.4 $ 827.9 $ 786.2 $ 528.7 2,171.1 2,531.1 2,234.7
Assets from Continuing Operations 37,088.7       37,180.0       37,088.7 37,180.0 43,670.0
Capital Expenditures from continuing operations                 191.9 249.0 165.7
Depreciation, Depletion and Amortization                 $ 377.6 316.1 [1] 288.6 [1]
Number of Reportable Segments | segment                 2    
Standard Reconciling Rate Between Actual Interest Income Earned And Interest Credited                 4.50%    
Employer Services [Member]                      
Segment Reporting Information [Line Items]                      
TOTAL REVENUES                 $ 10,057.8 9,535.2 9,211.9
EARNINGS FROM CONTINUING OPERATIONS BEFORE INCOME TAXES                 3,087.4 2,918.5 2,798.4
Assets from Continuing Operations 30,250.8       30,107.7       30,250.8 30,107.7 36,637.5
Capital Expenditures from continuing operations                 113.9 83.0 71.1
Depreciation, Depletion and Amortization                 291.9 247.3 230.7
PEO Services [Member]                      
Segment Reporting Information [Line Items]                      
TOTAL REVENUES                 3,896.6 3,483.6 3,073.1
EARNINGS FROM CONTINUING OPERATIONS BEFORE INCOME TAXES                 504.2 448.6 371.2
Assets from Continuing Operations 760.1       586.8       760.1 586.8 534.6
Capital Expenditures from continuing operations                 0.0 0.2 1.0
Depreciation, Depletion and Amortization                 3.0 1.3 1.5
Other [Member]                      
Segment Reporting Information [Line Items]                      
TOTAL REVENUES                 (9.4) (10.6) 1.9
EARNINGS FROM CONTINUING OPERATIONS BEFORE INCOME TAXES                 (801.3) (207.6) (315.8)
Assets from Continuing Operations 6,077.8       6,485.5       6,077.8 6,485.5 6,497.9
Capital Expenditures from continuing operations                 78.0 165.8 93.6
Depreciation, Depletion and Amortization                 82.7 67.5 56.4
Client Fund Interest [Member]                      
Segment Reporting Information [Line Items]                      
TOTAL REVENUES                 (619.2) (628.4) (619.1)
EARNINGS FROM CONTINUING OPERATIONS BEFORE INCOME TAXES                 (619.2) (628.4) (619.1)
Assets from Continuing Operations $ 0.0       $ 0.0       0.0 0.0 0.0
Capital Expenditures from continuing operations                 0.0 0.0 0.0
Depreciation, Depletion and Amortization                 $ 0.0 $ 0.0 $ 0.0
[1] See Note 1 for a summary of adjustments.