Revenues - Schedule of Operating Revenues by Geographic Area (Details) - USD ($) $ in Millions | 3 Months Ended |
Dec. 31, 2023 | Dec. 31, 2022 |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | $ 1,991.1 | $ 1,967.1 |
Investment management fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 1,652.2 | 1,631.8 |
Sales and distribution fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 296.4 | 291.9 |
Shareholder servicing fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 32.5 | 33.4 |
Other [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 10 | 10 |
United States [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 1,499.5 | 1,518 |
United States [Member] | Investment management fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 1,260.6 | 1,274.8 |
United States [Member] | Sales and distribution fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 205.7 | 208.2 |
United States [Member] | Shareholder servicing fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 24.2 | 25.3 |
United States [Member] | Other [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 9 | 9.7 |
Luxembourg [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 276.3 | 257.9 |
Luxembourg [Member] | Investment management fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 191.7 | 181.8 |
Luxembourg [Member] | Sales and distribution fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 76.5 | 68.4 |
Luxembourg [Member] | Shareholder servicing fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 7.6 | 7.7 |
Luxembourg [Member] | Other [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 0.5 | 0 |
Asia-Pacific [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 73.9 | 73.3 |
Asia-Pacific [Member] | Investment management fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 68.5 | 67.6 |
Asia-Pacific [Member] | Sales and distribution fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 4.6 | 5 |
Asia-Pacific [Member] | Shareholder servicing fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 0.6 | 0.4 |
Asia-Pacific [Member] | Other [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 0.2 | 0.3 |
Americas Excluding United States [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 61.2 | 62.1 |
Americas Excluding United States [Member] | Investment management fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 51.5 | 51.8 |
Americas Excluding United States [Member] | Sales and distribution fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 9.6 | 10.3 |
Americas Excluding United States [Member] | Shareholder servicing fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 0.1 | 0 |
Americas Excluding United States [Member] | Other [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 0 | 0 |
Europe, Middle East and Africa, Excluding Luxembourg [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 80.2 | 55.8 |
Europe, Middle East and Africa, Excluding Luxembourg [Member] | Investment management fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 79.9 | 55.8 |
Europe, Middle East and Africa, Excluding Luxembourg [Member] | Sales and distribution fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 0 | 0 |
Europe, Middle East and Africa, Excluding Luxembourg [Member] | Shareholder servicing fees [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | 0 | 0 |
Europe, Middle East and Africa, Excluding Luxembourg [Member] | Other [Member] | | |
Disaggregation of Revenue [Line Items] | | |
Operating revenues by geographic area | $ 0.3 | $ 0 |