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CONSOLIDATED T. ROWE PRICE INVESTMENT PRODUCTS. (Statement of Cash Flows) (Details) - USD ($)
$ in Millions
6 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Condensed Cash Flow Statements, Captions [Line Items]    
Net cash provided by operating activities $ 948.8 $ 929.3
Net cash used in investing activities (29.1) (944.0)
Net cash used in financing activities (501.5) (388.2)
Effect of exchange rate changes on cash and cash equivalents of consolidated T. Rowe Price investment products (0.4) (6.6)
Net change in cash and cash equivalents during period 417.8 (409.5)
Cash and cash equivalents at beginning of period 1,495.3 2,005.8
Cash and cash equivalents at end of period 1,913.1 1,596.3
Consolidation eliminations [Member]    
Condensed Cash Flow Statements, Captions [Line Items]    
Net cash used in financing activities 146.9 115.6
Consolidated T. Rowe Price investment products [Member]    
Condensed Cash Flow Statements, Captions [Line Items]    
Cash and cash equivalents at beginning of period 70.1 103.1
Cash and cash equivalents at end of period 110.7 111.9
Consolidated T. Rowe Price investment products [Member] | Reportable entities [Member]    
Condensed Cash Flow Statements, Captions [Line Items]    
Net cash provided by operating activities (291.1) (396.5)
Net cash used in investing activities (5.1) (21.7)
Net cash used in financing activities 337.2 433.6
Effect of exchange rate changes on cash and cash equivalents of consolidated T. Rowe Price investment products (0.4) (6.6)
Net change in cash and cash equivalents during period 40.6 8.8
Cash and cash equivalents at beginning of period 70.1 103.1
Cash and cash equivalents at end of period 110.7 111.9
Voting interest entities [Member] | Reportable entities [Member]    
Condensed Cash Flow Statements, Captions [Line Items]    
Net cash provided by operating activities (32.7) (38.1)
Net cash used in investing activities (5.1) 0.0
Net cash used in financing activities 34.5 57.1
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 (3.3) 19.0
Cash and cash equivalents at beginning of period 18.5 7.1
Cash and cash equivalents at end of period 15.2 26.1
Variable interest entities [Member] | Reportable entities [Member]    
Condensed Cash Flow Statements, Captions [Line Items]    
Net cash provided by operating activities (258.4) (358.4)
Net cash used in investing activities 0.0 (21.7)
Net cash used in financing activities 302.7 376.5
Effect of exchange rate changes on cash and cash equivalents of consolidated T. Rowe Price investment products (0.4) (6.6)
Net change in cash and cash equivalents during period 43.9 (10.2)
Cash and cash equivalents at beginning of period 51.6 96.0
Cash and cash equivalents at end of period $ 95.5 $ 85.8