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Organization and Description of the Business (Details)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended
Mar. 25, 2017
Jun. 30, 2020
USD ($)
segment
$ / shares
shares
Jun. 30, 2019
segment
Jun. 30, 2020
USD ($)
segment
$ / shares
shares
Jun. 30, 2019
segment
Feb. 25, 2019
Business Acquisition [Line Items]            
Number of reportable segments (in segments) | segment   3 3 3 3  
Ordinary shares repurchased (in shares) | shares   2,437,700   5,667,962    
Average price of ordinary shares repurchased (in dollars per share) | $ / shares   $ 6.56   $ 6.20    
Value of treasury stock acquired using the cost method | $   $ 16.0   $ 35.3    
BrightSphere Investment Group | Paulson            
Business Acquisition [Line Items]            
Parent owned interest           21.70%
Parent Company            
Business Acquisition [Line Items]            
Percent of interest sold 24.95%