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Stock-based Compensation - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Millions
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Apr. 30, 2015
Sep. 30, 2015
Sep. 30, 2014
Sep. 30, 2015
Sep. 30, 2014
Dec. 31, 2014
Dec. 31, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Share-based compensation expense   $ 7.9 $ 2.3 $ 22.1 $ 6.1    
Tax benefit from compensation expense   2.8 $ 0.9 $ 6.6 $ 2.2    
Grants in period       1,200,000      
Weighted average exercise price       $ 31.45      
Grant date fair value (dollars per share)       $ 8.20   $ 1.92 $ 1.38
Expected dividend rate       0.00%      
Cash received from exercise of stock options       $ 60.4      
Tax benefit realized from exercise of stock options   15.1   54.9      
Compensation not yet recognized   7.5   7.5      
2013 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Accelerated compensation cost       $ 8.2      
Number of shares authorized             19,839,143
2014 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Number of shares authorized           11,830,000  
Grants in period       1,200,000      
Expected term       6 years      
The Carlyle Group L.P. [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Ownership percentage (less than) 50.00%            
Minimum [Member] | 2014 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Weighted average exercise price       $ 25.34      
Maximum [Member] | 2014 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Weighted average exercise price       $ 34.80      
Employee Stock Option [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Forfeiture rate       0.00%      
Period for recognition of compensation not yet recognized       2 years 7 months 13 days      
Employee Stock Option [Member] | 2013 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Expected term           7 years 9 months 22 days 7 years 9 months 22 days
Expected dividend rate           0.00% 0.00%
Employee Stock Option [Member] | 2014 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Expiration period       10 years      
Expected term       6 years      
Expected dividend rate       0.00%      
Employee Stock Option [Member] | 2013, Strike Price 1 [Member] | 2013 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Weighted average exercise price           $ 5.92 $ 5.92
Employee Stock Option [Member] | 2013, Strike Price 2 [Member] | 2013 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Weighted average exercise price           8.88 8.88
Employee Stock Option [Member] | 2013, Strike Price 3 [Member] | 2013 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Weighted average exercise price           11.84 11.84
Employee Stock Option [Member] | 2013, Strike Price 4 [Member] | 2013 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Weighted average exercise price           $ 7.21 $ 7.21
Employee Stock Option [Member] | 2013, Strike Price 1 and 4 [Member] | 2013 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Expected term             6 years 6 months
Employee Stock Option [Member] | 2013, Strike Price 2 and 3 [Member] | 2013 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Expected term             8 years 3 months
Employee Stock Option [Member] | Minimum [Member] | 2013 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Award vesting period       4 years 4 months 24 days      
Employee Stock Option [Member] | Maximum [Member] | 2013 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Award vesting period       5 years      
Employee Stock Option [Member] | Maximum [Member] | 2014 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Award vesting period       3 years      
Stock Compensation Plan [Member] | 2013 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Grants in period           1,600,000 16,300,000
Restricted Stock [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Forfeiture rate       0.00%      
Restricted Stock [Member] | 2014 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Granted (in shares)       900,000.0      
Restricted Stock Units (RSUs) [Member] | 2014 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Granted (in shares)       700,000.0      
Restricted Stock and Restricted Stock Units [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Award vesting period       3 years      
Granted (in shares)       1,700,000      
Weighted average grant date fair value (dollars per share)       $ 32.29      
Period for recognition of compensation not yet recognized       2 years 7 months 15 days      
Granted (in shares)       1,700,000      
Compensation not yet recognized, share-based awards other than options   $ 43.8   $ 43.8      
Restricted Stock and Restricted Stock Units [Member] | Minimum [Member] | 2014 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Weighted average grant date fair value (dollars per share)       $ 25.34      
Restricted Stock and Restricted Stock Units [Member] | Maximum [Member] | 2014 Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Weighted average grant date fair value (dollars per share)       $ 34.80      
Management [Member] | Restricted Stock and Restricted Stock Units [Member] | Minimum [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Award vesting period       2 years      
Management [Member] | Restricted Stock and Restricted Stock Units [Member] | Maximum [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Award vesting period       3 years