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Revenues - Schedule of Operating Revenues by Geographic Area (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Disaggregation of Revenue [Line Items]    
Not Earned From Contracts With Customers [1] $ 26.1  
Investment management fees 971.8 $ 1,113.6
Sales and distribution fees 354.8 417.8
Shareholder servicing fees 55.1 54.9
Other 29.8 29.2
Total 1,411.5 $ 1,615.5
Investment management fees [Member]    
Disaggregation of Revenue [Line Items]    
Not Earned From Contracts With Customers [1] 0.0  
Sales and distribution fees [Member]    
Disaggregation of Revenue [Line Items]    
Not Earned From Contracts With Customers [1] 0.0  
Shareholder servicing fees [Member]    
Disaggregation of Revenue [Line Items]    
Not Earned From Contracts With Customers [1] 0.0  
Other [Member]    
Disaggregation of Revenue [Line Items]    
Not Earned From Contracts With Customers [1] 26.1  
United States [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 814.0  
United States [Member] | Investment management fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 533.1  
United States [Member] | Sales and distribution fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 233.0  
United States [Member] | Shareholder servicing fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 44.9  
United States [Member] | Other [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 3.0  
Luxembourg [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 380.0  
Luxembourg [Member] | Investment management fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 267.7  
Luxembourg [Member] | Sales and distribution fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 104.3  
Luxembourg [Member] | Shareholder servicing fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 7.7  
Luxembourg [Member] | Other [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 0.3  
Americas Excluding United States [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 102.2  
Americas Excluding United States [Member] | Investment management fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 85.6  
Americas Excluding United States [Member] | Sales and distribution fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 16.6  
Americas Excluding United States [Member] | Shareholder servicing fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 0.0  
Americas Excluding United States [Member] | Other [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 0.0  
Asia-Pacific [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 64.5  
Asia-Pacific [Member] | Investment management fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 61.4  
Asia-Pacific [Member] | Sales and distribution fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 0.5  
Asia-Pacific [Member] | Shareholder servicing fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 2.5  
Asia-Pacific [Member] | Other [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 0.1  
Europe, Middle East and Africa, Excluding Luxembourg [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 24.7  
Europe, Middle East and Africa, Excluding Luxembourg [Member] | Investment management fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 24.0  
Europe, Middle East and Africa, Excluding Luxembourg [Member] | Sales and distribution fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 0.4  
Europe, Middle East and Africa, Excluding Luxembourg [Member] | Shareholder servicing fees [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers 0.0  
Europe, Middle East and Africa, Excluding Luxembourg [Member] | Other [Member]    
Disaggregation of Revenue [Line Items]    
Earned From Contracts With Customers $ 0.3  
[1] Consists of interest and dividend income from consolidated investment products.