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SUPPLEMENTARY CONSOLIDATING CASH FLOW STATEMENT. (Details) - USD ($)
$ in Millions
 3 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Condensed Financial Statements, Captions [Line Items]    
Net income [1] $ 455.5 $ 400.4
Adjustments to reconcile net income to net cash provided by (used in) operating activities    
Depreciation and amortization of property and equipment [1] 36.9 35.6
Stock-based compensation expense [1] 45.6 36.8
Net gains recognized on other investments [1] (2.6) (62.0)
Investments in U.S. mutual funds held as trading to economically hedge supplemental savings plan liability [1] (12.9) 0.0
Net change in trading securities held by consolidated T. Rowe Price investment products [1] (189.4) (566.3)
Other changes in assets and liabilities [1] 187.9 344.0
Net cash provided by (used in) operating activities [1] 521.0 188.5
Net cash provided by (used in) investing activities [1] (519.8) 29.4
Net cash provided by (used in) financing activities [1] (242.1) 146.0
Effect of exchange rate changes on cash and cash equivalents of consolidated T. Rowe Price investment products [1] 1.3 (3.4)
Net change in cash and cash equivalents during period [1] (239.6) 360.5
Cash and cash equivalents at beginning of year [1] 2,005.8 1,270.5
Cash and cash equivalents at end of period [1] 1,766.2 1,631.0
Consolidation eliminations [Member]    
Condensed Financial Statements, Captions [Line Items]    
Net income 3.5 (31.8)
Adjustments to reconcile net income to net cash provided by (used in) operating activities    
Depreciation and amortization of property and equipment 0.0 0.0
Stock-based compensation expense 0.0 0.0
Net gains recognized on other investments (3.5) 31.8
Investments in U.S. mutual funds held as trading to economically hedge supplemental savings plan liability 0.0 0.0
Net change in trading securities held by consolidated T. Rowe Price investment products 0.0 0.0
Other changes in assets and liabilities (0.9) (0.8)
Net cash provided by (used in) operating activities (0.9) (0.8)
Net cash provided by (used in) investing activities 26.0 23.0
Net cash provided by (used in) financing activities (25.1) (22.2)
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 0.0 0.0
Cash and cash equivalents at beginning of year 0.0 0.0
Cash and cash equivalents at end of period 0.0 0.0
Attributable to T. Rowe Price Group [Member] | Reportable entities [Member]    
Condensed Financial Statements, Captions [Line Items]    
Net income 453.7 385.9
Adjustments to reconcile net income to net cash provided by (used in) operating activities    
Depreciation and amortization of property and equipment 36.9 35.6
Stock-based compensation expense 45.6 36.8
Net gains recognized on other investments 0.9 (93.8)
Investments in U.S. mutual funds held as trading to economically hedge supplemental savings plan liability (12.9) 0.0
Net change in trading securities held by consolidated T. Rowe Price investment products 0.0 0.0
Other changes in assets and liabilities 198.7 363.6
Net cash provided by (used in) operating activities 722.9 728.1
Net cash provided by (used in) investing activities (524.3) 52.9
Net cash provided by (used in) financing activities (419.9) (405.1)
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 (221.3) 375.9
Cash and cash equivalents at beginning of year 1,902.7 1,204.9
Cash and cash equivalents at end of period 1,681.4 1,580.8
Attributable to consolidated T. Rowe Price investment products [Member] | Reportable entities [Member]    
Condensed Financial Statements, Captions [Line Items]    
Net income (1.7) 46.3
Adjustments to reconcile net income to net cash provided by (used in) operating activities    
Depreciation and amortization of property and equipment 0.0 0.0
Stock-based compensation expense 0.0 0.0
Net gains recognized on other investments 0.0 0.0
Investments in U.S. mutual funds held as trading to economically hedge supplemental savings plan liability 0.0 0.0
Net change in trading securities held by consolidated T. Rowe Price investment products (189.4) (566.3)
Other changes in assets and liabilities (9.9) (18.8)
Net cash provided by (used in) operating activities (201.0) (538.8)
Net cash provided by (used in) investing activities (21.5) (46.5)
Net cash provided by (used in) financing activities 202.9 573.3
Effect of exchange rate changes on cash and cash equivalents of consolidated T. Rowe Price investment products 1.3 (3.4)
Net change in cash and cash equivalents during period (18.3) (15.4)
Cash and cash equivalents at beginning of year 103.1 65.6
Cash and cash equivalents at end of period $ 84.8 $ 50.2
[1] See note 12 for a supplementary consolidating cash flow schedule.