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Basis of Financial Statements - Recent Developments (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
1 Months Ended 3 Months Ended 9 Months Ended
Oct. 01, 2019
Sep. 05, 2019
Sep. 01, 2019
Jul. 23, 2019
Jun. 27, 2019
May 22, 2019
Mar. 21, 2019
Jun. 30, 2019
Dec. 31, 2019
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2019
Sep. 30, 2018
Apr. 30, 2019
Mar. 31, 2019
Feb. 08, 2019
Dec. 31, 2018
Subsidiary, Sale of Stock [Line Items]                                  
Additional investment                       $ 526.2 $ 0.0        
Realized gains, net                   $ 93.0 $ 11.3 169.1 77.8        
Prepaid expenses and other current assets                   20.5   20.5         $ 25.2
Proceeds from sale of corporate office                       13.2 0.0        
Reclass to property and equipment, net                   155.8   155.8         176.4
Proceeds from sale of corporate offices and stores                       18.7 $ 3.2        
Investment in partnership               $ 887.3   851.9   851.9     $ 904.5   397.2
Management Services Agreement                                  
Subsidiary, Sale of Stock [Line Items]                                  
Management Services Agreement, automatic renewal term     1 year                            
Restatement Adjustment                                  
Subsidiary, Sale of Stock [Line Items]                                  
Investment in partnership               (26.0)             $ (26.3)    
Disposal Group, Held-for-sale, Not Discontinued Operations | ABRH                                  
Subsidiary, Sale of Stock [Line Items]                                  
Prepaid expenses and other current assets                   3.9   3.9         9.3
Proceeds from sale of corporate office             $ 13.2                    
Lease term             15 years                    
Liability for finance obligation             $ 13.2                    
Proceeds from sale of corporate offices and stores                       15.7          
Disposal Group, Held-for-sale, Not Discontinued Operations | ABRH | Restatement Adjustment                                  
Subsidiary, Sale of Stock [Line Items]                                  
Prepaid expenses and other current assets                   (2.4)   (2.4)          
Reclass to property and equipment, net                   $ 2.4   $ 2.4          
Dun And Bradstreet                                  
Subsidiary, Sale of Stock [Line Items]                                  
Additional investment         $ 23.5     $ 23.5                  
Outstanding voting equity                   24.30%   24.30%   24.30%      
Investment in partnership                   $ 446.2   $ 446.2         0.0
Ceridian                                  
Subsidiary, Sale of Stock [Line Items]                                  
Outstanding voting equity                   20.00%   20.00%          
Investment in partnership                   $ 370.3   $ 370.3         $ 359.7
Ceridian | Underwritten Secondary Public Offering                                  
Subsidiary, Sale of Stock [Line Items]                                  
Sale of stock (in shares)   2.0       2.0                      
Sale of stock, price per share received (usd per share)   $ 56.30       $ 50.50                      
Sale of stock, discounted price per share (usd per share)   $ 56.00       $ 50.25                      
Proceeds from sale of stock   $ 112.0       $ 100.5                      
Realized gains, net   82.2       71.1                      
Losses on sale of stock   4.9       4.2                      
Sale of stock, tax benefit   $ 1.0       $ 1.1                      
QOMPLX, Inc.                                  
Subsidiary, Sale of Stock [Line Items]                                  
Additional investment       $ 15.0                          
Outstanding voting equity       19.90%                          
Investment in partnership       $ 79.0           $ 15.0   $ 15.0          
QOMPLX, Inc. | Subsequent Event                                  
Subsidiary, Sale of Stock [Line Items]                                  
Additional investment $ 7.5                                
QOMPLX, Inc. | Scenario Forecast | Equity Investment, Funding | Subsequent Event                                  
Subsidiary, Sale of Stock [Line Items]                                  
Additional investment                 $ 7.5                
Cannae | Dun And Bradstreet | Dun And Bradstreet | Equity Commitment to Purchase, Retained And Funded                                  
Subsidiary, Sale of Stock [Line Items]                                  
Investment commitment                               $ 505.6  
Affiliated Entity | Management Services Agreement                                  
Subsidiary, Sale of Stock [Line Items]                                  
Management fee, percentage                   0.375%   1.50%          
Annualized hurdle rate     8.00%                            
Interest rate payable to Manager for satisfaction of hurdle rate                       15.00%          
Investment return                       20.00%          
Management Services Agreement, initial term     5 years                            
Affiliated Entity | Management Services Agreement | Minimum                                  
Subsidiary, Sale of Stock [Line Items]                                  
Return on investment                       100.00%          
Affiliated Entity | Management Services Agreement | Maximum                                  
Subsidiary, Sale of Stock [Line Items]                                  
Return on investment                       200.00%