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CONSOLIDATED STATEMENTS OF STOCKHOLDERS' EQUITY - USD ($) $ in Millions | Total | Restricted shares [Member] | Restricted stock units [Member] | Common stock [Member] | Common stock [Member] Restricted shares [Member] | Common stock [Member] Restricted stock units [Member] | Additional capital in excess of par value [Member] | Additional capital in excess of par value [Member] Restricted shares [Member] | Additional capital in excess of par value [Member] Restricted stock units [Member] | Retained earnings [Member] | AOCI [Member]
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Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |
Cumulative effect of adopting new accounting guidance |  |  |  |  |  |  |  |  |  |  |  | $ (32.5) |
Cumulative effect of adopting new accounting guidance | Accounting standards update 2015-2 [Member] |  |  |  |  |  |  |  |  |  |  | $ 32.5 | (32.5) | [1]
Cumulative effect of adopting new accounting guidance | Accounting standards update 2016-9 [Member] |  | $ 3.9 |  |  |  |  |  | $ 12.9 |  |  | (9.0) |  |
Balances, Adjusted |  | 4,765.9 |  |  | $ 50.1 |  |  | 667.5 |  |  | 3,994.2 | 54.1 | [1]
Increase (Decrease) in Temporary Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |
Cumulative effect of adopting new accounting guidance on redeemable noncontrolling interest |  | 672.7 |  |  |  |  |  |  |  |  |  |  |
Balances (in shares) at Dec. 31, 2015 |  |  |  |  | 250,469,000 |  |  |  |  |  |  |  |
Balances at Dec. 31, 2015 |  | 4,762.0 |  |  | $ 50.1 |  |  | 654.6 |  |  | 3,970.7 | 86.6 | [1]
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |
Net income |  | 1,215.0 |  |  |  |  |  |  |  |  | 1,215.0 |  |
Other comprehensive income (loss), net of tax |  | (42.6) |  |  |  |  |  |  |  |  |  | (42.6) | [1]
Dividends declared |  | (541.2) |  |  |  |  |  |  |  |  | (541.2) |  |
Common stock-based compensation plans activity |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued upon option exercises (in shares) |  |  |  |  | 4,140,000 |  |  |  |  |  |  |  |
Shares issued upon option exercises |  | 149.5 |  |  | $ 0.8 |  |  | 148.7 |  |  |  |  |
Restricted shares withheld for taxes, net of shares issued (shares) |  |  |  |  |  | (178,000) |  |  |  |  |  |  |
Shares withheld for taxes, net of shares issued |  |  | $ (14.0) | $ (8.7) |  |  | $ 0.1 |  | $ (14.0) | $ (8.8) |  |  |
Shares issued upon vesting of restricted stock units, net of shares withheld for taxes (shares) |  |  |  |  |  |  | 409,000 |  |  |  |  |  |
Forfeiture of restricted awards (shares) |  |  |  |  | (61,000) |  |  |  |  |  |  |  |
Forfeiture of restricted awards |  | 0.0 |  |  |  |  |  |  |  |  |  |  |
Stock-based compensation expense |  | 161.6 |  |  |  |  |  | 161.6 |  |  |  |  |
Restricted stock units issued as dividend equivalents |  | 0.0 |  |  |  |  |  | 0.1 |  |  | (0.1) |  |
Common shares repurchased (shares) |  |  |  |  | (9,995,000) |  |  |  |  |  |  |  |
Common shares repurchased |  | (676.9) |  |  | $ (2.0) |  |  | (300.6) |  |  | (374.3) |  |
Balances (in shares) at Dec. 31, 2016 |  |  |  |  | 244,784,000 |  |  |  |  |  |  |  |
Balances at Dec. 31, 2016 |  | 5,008.6 |  |  | $ 49.0 |  |  | 654.5 |  |  | 4,293.6 | 11.5 | [1]
Beginning balances attributable to redeemable non-controlling interests at Dec. 31, 2015 |  | 672.7 |  |  |  |  |  |  |  |  |  |  |
Increase (Decrease) in Temporary Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |
Net income attributable to redeemable non-controlling interests |  | 39.0 |  |  |  |  |  |  |  |  |  |  |
Other comprehensive loss, net of tax, attributable to redeemable non-controlling interests |  | (2.5) |  |  |  |  |  |  |  |  |  |  |
Net subscriptions into T. Rowe Price investment products |  | 945.3 |  |  |  |  |  |  |  |  |  |  |
Net deconsolidations of T. Rowe Price investment products |  | (967.3) |  |  |  |  |  |  |  |  |  |  |
Ending balances attributable to redeemable non-controlling interests at Dec. 31, 2016 |  | 687.2 |  |  |  |  |  |  |  |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |
Net income |  | 1,497.8 |  |  |  |  |  |  |  |  | 1,497.8 |  |
Other comprehensive income (loss), net of tax |  | (15.1) |  |  |  |  |  |  |  |  |  | (15.1) | [1]
Dividends declared |  | (562.6) |  |  |  |  |  |  |  |  | (562.6) |  |
Common stock-based compensation plans activity |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued upon option exercises (in shares) |  |  |  |  | 6,339,000 |  |  |  |  |  |  |  |
Shares issued upon option exercises |  | 252.2 |  |  | $ 1.2 |  |  | 251.0 |  |  |  |  |
Restricted shares withheld for taxes, net of shares issued (shares) |  |  |  |  |  | (170,000) |  |  |  |  |  |  |
Shares withheld for taxes, net of shares issued |  |  | (19.2) | (31.2) |  |  | $ 0.1 |  | (19.2) | (31.3) |  |  |
Shares issued upon vesting of restricted stock units, net of shares withheld for taxes (shares) |  |  |  |  |  |  | 789,000 |  |  |  |  |  |
Forfeiture of restricted awards (shares) |  |  |  |  | (19,000) |  |  |  |  |  |  |  |
Forfeiture of restricted awards |  | 0.0 |  |  |  |  |  |  |  |  |  |  |
Stock-based compensation expense |  | 152.0 |  |  |  |  |  | 152.0 |  |  |  |  |
Restricted stock units issued as dividend equivalents |  | 0.0 |  |  |  |  |  | 0.2 |  |  | (0.2) |  |
Common shares repurchased (shares) |  |  |  |  | (6,612,000) |  |  |  |  |  |  |  |
Common shares repurchased |  | (458.1) |  |  | $ (1.3) |  |  | (161.1) |  |  | (295.7) |  |
Balances (in shares) at Dec. 31, 2017 |  |  |  |  | 245,111,000 |  |  |  |  |  |  |  |
Balances at Dec. 31, 2017 |  | 5,824.4 |  |  | $ 49.0 |  |  | 846.1 |  |  | 4,932.9 | (3.6) | [1]
Increase (Decrease) in Temporary Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |
Net income attributable to redeemable non-controlling interests |  | 83.4 |  |  |  |  |  |  |  |  |  |  |
Other comprehensive loss, net of tax, attributable to redeemable non-controlling interests |  | 21.2 |  |  |  |  |  |  |  |  |  |  |
Net subscriptions into T. Rowe Price investment products |  | 1,243.7 |  |  |  |  |  |  |  |  |  |  |
Net deconsolidations of T. Rowe Price investment products |  | (1,042.7) |  |  |  |  |  |  |  |  |  |  |
Ending balances attributable to redeemable non-controlling interests at Dec. 31, 2017 |  | 992.8 |  |  |  |  |  |  |  |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |
Cumulative effect of adopting new accounting guidance | Accounting standards update 2016-01 [Member] | [2] | 14.5 |  |  |  |  |  |  |  |  | 22.4 | (7.9) | [1]
Cumulative effect of adopting new accounting guidance | Accounting standards update 2018-02, currency translation adjustments [Member] |  |  |  |  |  |  |  |  |  |  | 2.3 | (2.3) | [1]
Balances, Adjusted |  | 5,838.9 |  |  | $ 49.0 |  |  | 846.1 |  |  | 4,957.6 | (13.8) | [1]
Net income |  | 1,837.5 |  |  |  |  |  |  |  |  | 1,837.5 |  |
Other comprehensive income (loss), net of tax |  | (28.2) |  |  |  |  |  |  |  |  |  | (28.2) | [1]
Dividends declared |  | $ (694.7) |  |  |  |  |  |  |  |  | (694.7) |  |
Common stock-based compensation plans activity |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued upon option exercises (in shares) |  | 3,831,062 |  |  | 2,870,000 |  |  |  |  |  |  |  |
Shares issued upon option exercises |  | $ 121.3 |  |  | $ 0.5 |  |  | 120.8 |  |  |  |  |
Restricted shares withheld for taxes, net of shares issued (shares) |  |  |  |  |  | (115,000) |  |  |  |  |  |  |
Shares withheld for taxes, net of shares issued |  |  | $ (11.4) | $ (36.6) |  |  | $ 0.2 |  | $ (11.4) | $ (36.8) |  |  |
Shares issued upon vesting of restricted stock units, net of shares withheld for taxes (shares) |  |  |  |  |  |  | 1,053,000 |  |  |  |  |  |
Forfeiture of restricted awards (shares) |  |  |  |  | (14,000) |  |  |  |  |  |  |  |
Forfeiture of restricted awards |  | 0.0 |  |  |  |  |  |  |  |  |  |  |
Stock-based compensation expense |  | 197.1 |  |  |  |  |  | 197.1 |  |  |  |  |
Restricted stock units issued as dividend equivalents |  | 0.0 |  |  |  |  |  | 0.2 |  |  | (0.2) |  |
Common shares repurchased (shares) |  |  |  |  | (10,836,000) |  |  |  |  |  |  |  |
Common shares repurchased |  | (1,099.6) |  |  | $ (2.1) |  |  | (461.4) |  |  | (636.1) |  |
Balances (in shares) at Dec. 31, 2018 |  |  |  |  | 238,069,000 |  |  |  |  |  |  |  |
Balances at Dec. 31, 2018 |  | 6,124.3 |  |  | $ 47.6 |  |  | $ 654.6 |  |  | $ 5,464.1 | $ (42.0) | [1]
Increase (Decrease) in Temporary Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |
Net income attributable to redeemable non-controlling interests |  | (68.8) |  |  |  |  |  |  |  |  |  |  |
Other comprehensive loss, net of tax, attributable to redeemable non-controlling interests |  | (26.1) |  |  |  |  |  |  |  |  |  |  |
Net subscriptions into T. Rowe Price investment products |  | 468.8 |  |  |  |  |  |  |  |  |  |  |
Net deconsolidations of T. Rowe Price investment products |  | (626.4) |  |  |  |  |  |  |  |  |  |  |
Ending balances attributable to redeemable non-controlling interests at Dec. 31, 2018 |  | $ 740.3 |  |  |  |  |  |  |  |  |  |  |
[1] | Accumulated other comprehensive income
[2] | Includes the reclassification of $1.7 million of stranded income taxes on available-for-sale investments resulting from U.S. tax law changes enacted on December 22, 2017, from accumulated other comprehensive income to retained earnings.

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