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CONSOLIDATED T. ROWE PRICE INVESTMENT PRODUCTS. (Statement of Cash Flows) (Details) - USD ($)
$ in Millions
6 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Condensed Cash Flow Statements, Captions [Line Items]    
Net cash provided by (used in) operating activities $ 1,640.7 $ 948.8
Net cash used in investing activities 2.4 (29.1)
Net cash provided by in financing activities (1,311.1) (501.5)
Effect of exchange rate changes on cash and cash equivalents of consolidated T. Rowe Price investment products (7.4) (0.4)
Net change in cash and cash equivalents during period 324.6 417.8
Cash and cash equivalents at beginning of period 1,858.3 1,495.3
Cash and cash equivalents at ending of period 2,182.9 1,913.1
Consolidation eliminations    
Condensed Cash Flow Statements, Captions [Line Items]    
Net cash provided by in financing activities 26.2 146.9
Consolidated T. Rowe Price investment products    
Condensed Cash Flow Statements, Captions [Line Items]    
Cash and cash equivalents at beginning of period 76.5 70.1
Cash and cash equivalents at ending of period 124.8 110.7
Consolidated T. Rowe Price investment products | Reportable entities    
Condensed Cash Flow Statements, Captions [Line Items]    
Net cash provided by (used in) operating activities (49.0) (291.1)
Net cash used in investing activities (9.2) (5.1)
Net cash provided by in financing activities 113.9 337.2
Effect of exchange rate changes on cash and cash equivalents of consolidated T. Rowe Price investment products (7.4) (0.4)
Net change in cash and cash equivalents during period 48.3 40.6
Cash and cash equivalents at beginning of period 76.5 70.1
Cash and cash equivalents at ending of period 124.8 110.7
Voting interest entities | Reportable entities    
Condensed Cash Flow Statements, Captions [Line Items]    
Net cash provided by (used in) operating activities 0.8 (32.7)
Net cash used in investing activities (9.2) (5.1)
Net cash provided by in financing activities 9.9 34.5
Effect of exchange rate changes on cash and cash equivalents of consolidated T. Rowe Price investment products 0.0 0.0
Net change in cash and cash equivalents during period 1.5 (3.3)
Cash and cash equivalents at beginning of period 9.9 18.5
Cash and cash equivalents at ending of period 11.4 15.2
Variable interest entities | Reportable entities    
Condensed Cash Flow Statements, Captions [Line Items]    
Net cash provided by (used in) operating activities (49.8) (258.4)
Net cash used in investing activities 0.0 0.0
Net cash provided by in financing activities 104.0 302.7
Effect of exchange rate changes on cash and cash equivalents of consolidated T. Rowe Price investment products (7.4) (0.4)
Net change in cash and cash equivalents during period 46.8 43.9
Cash and cash equivalents at beginning of period 66.6 51.6
Cash and cash equivalents at ending of period $ 113.4 $ 95.5