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SUPPLEMENTARY CONSOLIDATING CASH FLOW STATEMENTS. (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Condensed Financial Statements, Captions [Line Items]        
Net income $ 581.6 $ 404.2 $ 1,496.7 [1] $ 1,194.6 [1]
Adjustments to reconcile net income to net cash provided by (used in) operating activities        
Depreciation and amortization of property and equipment [1]     114.9 106.9
Stock-based compensation expense [1]     135.3 110.6
Realized gains on dispositions of available-for-sale T. Rowe Price investment products [1]       (78.0)
Gains recognized upon transfer of an investment in a T. Rowe Price mutual fund from available-for-sale to held as trading [1]       (23.6)
Net gains recognized on investments [1]     (106.2) (40.4)
Net investments in T. Rowe Price investment products to economically hedge supplemental savings plan liability [1]     (14.4) (129.0)
Net change in securities held by consolidated T. Rowe Price investment products [1]     (578.3) (1,210.5)
Other changes in assets and liabilities [1]     438.4 422.2
Net cash provided by (used in) operating activities [1]     1,486.4 352.8
Net cash provided by (used in) investing activities [1]     (830.4) 75.4
Net cash provided by (used in) financing activities [1]     (463.1) 270.6
Effect of exchange rate changes on cash and cash equivalents of consolidated T. Rowe Price investment products [1]     (2.4) 6.9
Net change in cash and cash equivalents during period [1]     190.5 705.7
Cash and cash equivalents at end of period, including $65.6 million at December 31, 2016, and $103.1 million at December 31, 2017, held by consolidated T. Rowe Price investment products [1]     2,005.8 1,270.5
Cash and cash equivalents at end of period, including $106.8 million at September 30, 2017, and $105.7 million at September 30, 2018, held by consolidated T. Rowe Price investment products [1] 2,196.3 1,976.2 2,196.3 1,976.2
Consolidation eliminations [Member]        
Condensed Financial Statements, Captions [Line Items]        
Net income     (8.3) (73.4)
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
Realized gains on dispositions of available-for-sale T. Rowe Price investment products       0.0
Gains recognized upon transfer of an investment in a T. Rowe Price mutual fund from available-for-sale to held as trading       0.0
Net gains recognized on investments     8.3 73.4
Net investments in T. Rowe Price investment products to economically hedge supplemental savings plan liability     0.0 0.0
Net change in securities held by consolidated T. Rowe Price investment products     0.0 0.0
Other changes in assets and liabilities     (4.1) (3.5)
Net cash provided by (used in) operating activities     (4.1) (3.5)
Net cash provided by (used in) investing activities     115.8 184.6
Net cash provided by (used in) financing activities     (111.7) (181.1)
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     0.0 0.0
Cash and cash equivalents at end of period, including $65.6 million at December 31, 2016, and $103.1 million at December 31, 2017, held by consolidated T. Rowe Price investment products     0.0 0.0
Cash and cash equivalents at end of period, including $106.8 million at September 30, 2017, and $105.7 million at September 30, 2018, held by consolidated T. Rowe Price investment products 0.0 0.0 0.0 0.0
Attributable to T. Rowe Price Group [Member] | Reportable entities [Member]        
Condensed Financial Statements, Captions [Line Items]        
Net income     1,485.6 1,150.7
Adjustments to reconcile net income to net cash provided by (used in) operating activities        
Depreciation and amortization of property and equipment     114.9 106.9
Stock-based compensation expense     135.3 110.6
Realized gains on dispositions of available-for-sale T. Rowe Price investment products       (78.0)
Gains recognized upon transfer of an investment in a T. Rowe Price mutual fund from available-for-sale to held as trading       (23.6)
Net gains recognized on investments     (114.5) (113.8)
Net investments in T. Rowe Price investment products to economically hedge supplemental savings plan liability     (14.4) (129.0)
Net change in securities held by consolidated T. Rowe Price investment products     0.0 0.0
Other changes in assets and liabilities     454.0 438.6
Net cash provided by (used in) operating activities     2,060.9 1,462.4
Net cash provided by (used in) investing activities     (923.7) (63.2)
Net cash provided by (used in) financing activities     (949.3) (734.7)
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     187.9 664.5
Cash and cash equivalents at end of period, including $65.6 million at December 31, 2016, and $103.1 million at December 31, 2017, held by consolidated T. Rowe Price investment products     1,902.7 1,204.9
Cash and cash equivalents at end of period, including $106.8 million at September 30, 2017, and $105.7 million at September 30, 2018, held by consolidated T. Rowe Price investment products 2,090.6 1,869.4 2,090.6 1,869.4
Attributable to consolidated T. Rowe Price investment products [Member] | Reportable entities [Member]        
Condensed Financial Statements, Captions [Line Items]        
Net income     19.4 117.3
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
Realized gains on dispositions of available-for-sale T. Rowe Price investment products       0.0
Gains recognized upon transfer of an investment in a T. Rowe Price mutual fund from available-for-sale to held as trading       0.0
Net gains recognized on investments     0.0 0.0
Net investments in T. Rowe Price investment products to economically hedge supplemental savings plan liability     0.0 0.0
Net change in securities held by consolidated T. Rowe Price investment products     (578.3) (1,210.5)
Other changes in assets and liabilities     (11.5) (12.9)
Net cash provided by (used in) operating activities     (570.4) (1,106.1)
Net cash provided by (used in) investing activities     (22.5) (46.0)
Net cash provided by (used in) financing activities     597.9 1,186.4
Effect of exchange rate changes on cash and cash equivalents of consolidated T. Rowe Price investment products     (2.4) 6.9
Net change in cash and cash equivalents during period     2.6 41.2
Cash and cash equivalents at end of period, including $65.6 million at December 31, 2016, and $103.1 million at December 31, 2017, held by consolidated T. Rowe Price investment products     103.1 65.6
Cash and cash equivalents at end of period, including $106.8 million at September 30, 2017, and $105.7 million at September 30, 2018, held by consolidated T. Rowe Price investment products $ 105.7 $ 106.8 $ 105.7 $ 106.8
[1] See note 12 for supplementary consolidating cash flow statements.