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Revenue (Disaggregation of Revenue) (Details) - USD ($)
$ in Millions
3 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Disaggregation of Revenue [Line Items]    
Revenues $ 3,495.7 $ 3,310.3
Employer Services    
Disaggregation of Revenue [Line Items]    
Revenues 2,441.4 2,338.2
PEO    
Disaggregation of Revenue [Line Items]    
Revenues 1,056.9 974.9
Other    
Disaggregation of Revenue [Line Items]    
Revenues (2.6) (2.8)
HCM    
Disaggregation of Revenue [Line Items]    
Revenues 1,568.5 1,520.3
HCM | Employer Services    
Disaggregation of Revenue [Line Items]    
Revenues 1,570.0 1,521.8
HCM | PEO    
Disaggregation of Revenue [Line Items]    
Revenues 0.0 0.0
HCM | Other    
Disaggregation of Revenue [Line Items]    
Revenues (1.5) (1.5)
HRO [Member]    
Disaggregation of Revenue [Line Items]    
Revenues 591.1 557.5
HRO [Member] | Employer Services    
Disaggregation of Revenue [Line Items]    
Revenues 235.7 226.1
HRO [Member] | PEO    
Disaggregation of Revenue [Line Items]    
Revenues 356.5 332.7
HRO [Member] | Other    
Disaggregation of Revenue [Line Items]    
Revenues (1.1) (1.3)
PEO Benefits Pass-throughs    
Disaggregation of Revenue [Line Items]    
Revenues 699.1 640.5
PEO Benefits Pass-throughs | Employer Services    
Disaggregation of Revenue [Line Items]    
Revenues 0.0 0.0
PEO Benefits Pass-throughs | PEO    
Disaggregation of Revenue [Line Items]    
Revenues 699.1 640.5
PEO Benefits Pass-throughs | Other    
Disaggregation of Revenue [Line Items]    
Revenues 0.0
Global    
Disaggregation of Revenue [Line Items]    
Revenues 503.1 473.5
Global | Employer Services    
Disaggregation of Revenue [Line Items]    
Revenues 503.1 473.5
Global | PEO    
Disaggregation of Revenue [Line Items]    
Revenues 0.0 0.0
Global | Other    
Disaggregation of Revenue [Line Items]    
Revenues 0.0
Client Fund Interest    
Disaggregation of Revenue [Line Items]    
Revenues 133.9 118.5
Client Fund Interest | Employer Services    
Disaggregation of Revenue [Line Items]    
Revenues 132.6 116.8
Client Fund Interest | PEO    
Disaggregation of Revenue [Line Items]    
Revenues 1.3 1.7
Client Fund Interest | Other    
Disaggregation of Revenue [Line Items]    
Revenues $ 0.0