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Summary of Significant Accounting Policies (Details)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 12 Months Ended
Jun. 30, 2015
USD ($)
$ / shares
Mar. 31, 2015
USD ($)
$ / shares
Dec. 31, 2014
USD ($)
$ / shares
Sep. 30, 2014
USD ($)
$ / shares
Jun. 30, 2014
USD ($)
$ / shares
Mar. 31, 2014
USD ($)
$ / shares
Dec. 31, 2013
USD ($)
$ / shares
Sep. 30, 2013
USD ($)
$ / shares
Jun. 30, 2015
USD ($)
business
d
$ / shares
shares
Jun. 30, 2014
USD ($)
business
$ / shares
shares
Jun. 30, 2013
USD ($)
$ / shares
shares
Jun. 30, 2012
USD ($)
Property, Plant and Equipment [Line Items]                        
Operating Leases, Rent Expense                 $ 237.9 $ 227.4 $ 209.6  
Number of businesses acquired | business                 1 2    
Business Combination, Consideration Transferred                 $ 10.1 $ 40.4    
Percent of Level Two Investment Pricing Inputs Provided by Independent Pricing Service 99.00%               99.00%      
Minimum days receivable considered delinquent | d                 30      
Financing Receivable, Nonaccrual Status, Minimum Number of Days Past Due | d                 60      
Number of days to resume interest revenue recognition | d                 60      
Goodwill [1] $ 1,793.5       $ 1,883.5       $ 1,793.5 1,883.5 1,866.4  
Goodwill, Impairment Loss                 0.0 0.0 42.7  
Income (Loss) from Continuing Operations, Including Portion Attributable to Noncontrolling Interest $ 257.0 $ 490.3 $ 332.5 $ 296.6 $ 233.2 $ 432.1 $ 313.2 $ 264.2 $ 1,376.5 $ 1,242.6 $ 1,122.2  
Weighted Average Number of Shares Outstanding, Basic | shares                 472.6 478.9 482.7  
Incremental Common Shares Attributable to Call Options and Warrants | shares                 1.6 2.7 3.3  
Effect of Employee Restricted stock Shares On Weighted Average Number of Diluted Shares Outstanding | shares                 1.6 1.5 1.1  
Weighted Average Number of Shares Outstanding, Diluted | shares                 475.8 483.1 487.1  
Options excluded from the calculation of diluted earnings per share because their exercise prices exceeded the average market price | shares                 0.4 1.5 1.2  
Basic Earnings Per Share from Continuing Operations | $ / shares $ 0.55 $ 1.04 $ 0.70 $ 0.62 $ 0.49 $ 0.90 $ 0.65 $ 0.55 $ 2.91 $ 2.59 $ 2.32  
Diluted earnings per share from continuing operations | $ / shares $ 0.55 $ 1.03 $ 0.69 $ 0.62 $ 0.48 $ 0.89 $ 0.65 $ 0.55 $ 2.89 $ 2.57 $ 2.30  
Unrecognized Tax Benefits $ 27.1       $ 56.5       $ 27.1 $ 56.5 $ 67.0 $ 79.2
Tax Settlements Future Impact Potential On Earnings Maximum                 5.0      
Reinsurance Recoverables 1.0               1.0      
Worker's Compensation per occurrence reinsurance $ 1.0               $ 1.0      
Computer software to be marketed and sold                 3 years      
Minimum [Member]                        
Property, Plant and Equipment [Line Items]                        
Internal Use Software Life of Asset                 3 years      
Minimum [Member] | Data Processing Equipment [Member]                        
Property, Plant and Equipment [Line Items]                        
Property, Plant, and Equipment Useful Life                 2 years      
Minimum [Member] | Building [Member]                        
Property, Plant and Equipment [Line Items]                        
Property, Plant, and Equipment Useful Life                 20 years      
Minimum [Member] | Furniture and Fixtures [Member]                        
Property, Plant and Equipment [Line Items]                        
Property, Plant, and Equipment Useful Life                 3 years      
Maximum [Member]                        
Property, Plant and Equipment [Line Items]                        
Internal Use Software Life of Asset                 5 years      
Maximum [Member] | Data Processing Equipment [Member]                        
Property, Plant and Equipment [Line Items]                        
Property, Plant, and Equipment Useful Life                 5 years      
Maximum [Member] | Building [Member]                        
Property, Plant and Equipment [Line Items]                        
Property, Plant, and Equipment Useful Life                 40 years      
Maximum [Member] | Furniture and Fixtures [Member]                        
Property, Plant and Equipment [Line Items]                        
Property, Plant, and Equipment Useful Life                 7 years      
[1] The goodwill balance at June 30, 2015, 2014, and 2013 is net of accumulated impairment losses of $42.7 million related to the Employer Services segment.