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Revenues - Schedule of Operating Revenues by Geographic Area (Details) - USD ($) $ in Millions | 3 Months Ended
--- | ---
Dec. 31, 2024 | Dec. 31, 2023
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | $ 2,251.6 | $ 1,991.1
Investment management fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 1,799.3 | 1,652.2
Sales and distribution fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 375.5 | 296.4
Shareholder servicing fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 63.5 | 32.5
Other [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 13.3 | 10.0
United States [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 1,696.7 | 1,499.5
United States [Member] | Investment management fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 1,361.4 | 1,260.6
United States [Member] | Sales and distribution fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 267.1 | 205.7
United States [Member] | Shareholder servicing fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 55.1 | 24.2
United States [Member] | Other [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 13.1 | 9.0
Luxembourg [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 325.3 | 276.3
Luxembourg [Member] | Investment management fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 223.9 | 191.7
Luxembourg [Member] | Sales and distribution fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 93.4 | 76.5
Luxembourg [Member] | Shareholder servicing fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 8.0 | 7.6
Luxembourg [Member] | Other [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 0.0 | 0.5
Asia-Pacific [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 81.3 | 73.9
Asia-Pacific [Member] | Investment management fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 75.8 | 68.5
Asia-Pacific [Member] | Sales and distribution fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 4.9 | 4.6
Asia-Pacific [Member] | Shareholder servicing fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 0.4 | 0.6
Asia-Pacific [Member] | Other [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 0.2 | 0.2
Americas Excluding United States [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 63.6 | 61.2
Americas Excluding United States [Member] | Investment management fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 53.6 | 51.5
Americas Excluding United States [Member] | Sales and distribution fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 10.0 | 9.6
Americas Excluding United States [Member] | Shareholder servicing fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 0.0 | 0.1
Americas Excluding United States [Member] | Other [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 0.0 | 0.0
Europe, Middle East and Africa, Excluding Luxembourg [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 84.7 | 80.2
Europe, Middle East and Africa, Excluding Luxembourg [Member] | Investment management fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 84.6 | 79.9
Europe, Middle East and Africa, Excluding Luxembourg [Member] | Sales and distribution fees [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | 0.1 | 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 | 0.0
Europe, Middle East and Africa, Excluding Luxembourg [Member] | Other [Member] |  |
Disaggregation of Revenue [Line Items] |  |
Operating revenues by geographic area | $ 0.0 | $ 0.3

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