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UNAUDITED CONDENSED CONSOLIDATED STATEMENT OF STOCKHOLDERS' EQUITY - USD ($) $ in Millions | Total | Restricted stock units [Member] | Common stock [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 stock units [Member] | Retained earnings [Member] | Accumulated other comprehensive income (loss) [Member] | [2]
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Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |
Cumulative effect adjustment upon adoption of new accounting guidance | Accounting standards update 2016-01 [Member] | [1] | $ 14.5 |  |  |  |  |  | $ 22.4 | $ (7.9)
Cumulative effect adjustment upon adoption of new accounting guidance | Accounting standards update 2018-02, currency translation adjustments [Member] |  |  |  |  |  |  |  | 2.3 | (2.3)
Balances, As Adjusted |  | 5,838.9 |  | $ 49.0 |  | $ 846.1 |  | 4,957.6 | (13.8)
Balances (in shares) at Dec. 31, 2017 |  |  |  | 245,111,000 |  |  |  |  |
Beginning Balance at Dec. 31, 2017 |  | 5,824.4 |  | $ 49.0 |  | 846.1 |  | 4,932.9 | (3.6)
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |
Net income |  | 1,485.6 |  |  |  |  |  | 1,485.6 |
Other comprehensive income (loss), net of tax |  | (17.2) |  |  |  |  |  |  | (17.2)
Dividends declared |  | (522.5) |  |  |  |  |  | (522.5) |
Common stock-based compensation plans activity |  |  |  |  |  |  |  |  |
Shares issued upon option exercises (in shares) |  |  |  | 2,770,000 |  |  |  |  |
Shares issued upon option exercises |  | 117.2 |  | $ 0.6 |  | 116.6 |  |  |
Restricted shares issued, net of shares withheld for taxes (in shares) |  |  |  |  | 8,000 |  |  |  |
Restricted shares issued, net of shares withheld for taxes |  |  | $ (0.1) |  |  |  | $ (0.1) |  |
Net shares issued upon vesting of restricted stock units (in shares) |  |  |  |  | 71,000 |  |  |  |
Net shares issued upon vesting of restricted stock units |  |  | (1.9) |  |  |  | (1.9) |  |
Forfeiture of restricted awards (in shares) |  |  |  | (8,000) |  |  |  |  |
Stock-based compensation expense |  | 135.3 |  |  |  | 135.3 |  |  |
Restricted stock units issued as dividend equivalents |  |  |  |  |  | 0.1 |  | (0.1) |
Common shares repurchased (in shares) |  |  |  | (5,353,000) |  |  |  |  |
Common shares repurchased |  | (574.8) |  | $ (1.1) |  | (441.6) |  | (132.1) |
Balances (in shares) at Sep. 30, 2018 |  |  |  | 242,599,000 |  |  |  |  |
Ending Balance at Sep. 30, 2018 |  | 6,460.5 |  | $ 48.5 |  | 654.5 |  | 5,788.5 | (31.0)
Beginning balances attributable to redeemable non-controlling interests at Dec. 31, 2017 |  | 992.8 |  |  |  |  |  |  |
Increase (Decrease) in Temporary Equity [Roll Forward] |  |  |  |  |  |  |  |  |
Net income (loss) attributable to redeemable non-controlling interests |  | 11.1 |  |  |  |  |  |  |
Other comprehensive income (loss), net of tax, attributable to redeemable non-controlling interests |  | (16.8) |  |  |  |  |  |  |
Net subscriptions into consolidated T. Rowe Price investment products |  | 468.5 |  |  |  |  |  |  |
Net reconsolidations (deconsolidations) of T. Rowe Price investment products |  | (595.0) |  |  |  |  |  |  |
Ending balances attributable to redeemable non-controlling interests at Sep. 30, 2018 |  | 860.6 |  |  |  |  |  |  |
Balances (in shares) at Jun. 30, 2018 |  |  |  | 243,180,000 |  |  |  |  |
Beginning Balance at Jun. 30, 2018 |  | 6,114.6 |  | $ 48.6 |  | 654.6 |  | 5,435.1 | (23.7)
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |
Net income |  | 583.0 |  |  |  |  |  | 583.0 |
Other comprehensive income (loss), net of tax |  | (7.3) |  |  |  |  |  |  | (7.3)
Dividends declared |  | (173.7) |  |  |  |  |  | (173.7) |
Common stock-based compensation plans activity |  |  |  |  |  |  |  |  |
Shares issued upon option exercises (in shares) |  |  |  | 529,000 |  |  |  |  |
Shares issued upon option exercises |  | 25.1 |  | $ 0.2 |  | 24.9 |  |  |
Net shares issued upon vesting of restricted stock units (in shares) |  |  |  |  | 15,000 |  |  |  |
Net shares issued upon vesting of restricted stock units |  |  | (1.2) |  |  |  | (1.2) |  |
Forfeiture of restricted awards (in shares) |  |  |  | (2,000) |  |  |  |  |
Stock-based compensation expense |  | 44.5 |  |  |  | 44.5 |  |  |
Common shares repurchased (in shares) |  |  |  | (1,123,000) |  |  |  |  |
Common shares repurchased |  | (124.5) |  | $ (0.3) |  | (68.3) |  | (55.9) |
Balances (in shares) at Sep. 30, 2018 |  |  |  | 242,599,000 |  |  |  |  |
Ending Balance at Sep. 30, 2018 |  | 6,460.5 |  | $ 48.5 |  | 654.5 |  | 5,788.5 | (31.0)
Beginning balances attributable to redeemable non-controlling interests at Jun. 30, 2018 |  | 739.2 |  |  |  |  |  |  |
Increase (Decrease) in Temporary Equity [Roll Forward] |  |  |  |  |  |  |  |  |
Net income (loss) attributable to redeemable non-controlling interests |  | (1.4) |  |  |  |  |  |  |
Other comprehensive income (loss), net of tax, attributable to redeemable non-controlling interests |  | (3.3) |  |  |  |  |  |  |
Net subscriptions into consolidated T. Rowe Price investment products |  | 145.9 |  |  |  |  |  |  |
Net reconsolidations (deconsolidations) of T. Rowe Price investment products |  | (19.8) |  |  |  |  |  |  |
Ending balances attributable to redeemable non-controlling interests at Sep. 30, 2018 |  | 860.6 |  |  |  |  |  |  |
Balances (in shares) at Dec. 31, 2018 |  |  |  | 238,069,000 |  |  |  |  |
Beginning Balance at Dec. 31, 2018 |  | 6,124.3 |  | $ 47.6 |  | 654.6 |  | 5,464.1 | (42.0)
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |
Net income |  | 1,586.0 |  |  |  |  |  | 1,586.0 |
Other comprehensive income (loss), net of tax |  | (6.7) |  |  |  |  |  |  | (6.7)
Dividends declared |  | $ (549.9) |  |  |  |  |  | (549.9) |
Common stock-based compensation plans activity |  |  |  |  |  |  |  |  |
Shares issued upon option exercises (in shares) |  | 2,847,972 |  | 2,277,000 |  |  |  |  |
Shares issued upon option exercises |  | $ 119.3 |  | $ 0.4 |  | 118.9 |  |  |
Restricted shares issued, net of shares withheld for taxes (in shares) |  |  |  |  | 7,000 |  |  |  |
Restricted shares issued, net of shares withheld for taxes |  |  | (0.1) |  |  |  | (0.1) |  |
Net shares issued upon vesting of restricted stock units (in shares) |  |  |  |  | 51,000 |  |  |  |
Net shares issued upon vesting of restricted stock units |  |  | (2.6) |  |  |  | (2.6) |  |
Forfeiture of restricted awards (in shares) |  |  |  | (10,000) |  |  |  |  |
Stock-based compensation expense |  | 136.2 |  |  |  | 136.2 |  |  |
Restricted stock units issued as dividend equivalents |  |  |  |  |  | 0.1 |  | (0.1) |
Common shares repurchased (in shares) |  |  |  | (5,692,000) |  |  |  |  |
Common shares repurchased |  | (566.7) |  | $ (1.1) |  | (252.5) |  | (313.1) |
Balances (in shares) at Sep. 30, 2019 |  |  |  | 234,702,000 |  |  |  |  |
Ending Balance at Sep. 30, 2019 |  | 6,839.8 |  | $ 46.9 |  | 654.6 |  | 6,187.0 | (48.7)
Beginning balances attributable to redeemable non-controlling interests at Dec. 31, 2018 |  | 740.3 |  |  |  |  |  |  |
Increase (Decrease) in Temporary Equity [Roll Forward] |  |  |  |  |  |  |  |  |
Net income (loss) attributable to redeemable non-controlling interests |  | 69.0 |  |  |  |  |  |  |
Other comprehensive income (loss), net of tax, attributable to redeemable non-controlling interests |  | (17.7) |  |  |  |  |  |  |
Net subscriptions into consolidated T. Rowe Price investment products |  | 392.7 |  |  |  |  |  |  |
Net reconsolidations (deconsolidations) of T. Rowe Price investment products |  | (81.4) |  |  |  |  |  |  |
Ending balances attributable to redeemable non-controlling interests at Sep. 30, 2019 |  | 1,102.9 |  |  |  |  |  |  |
Balances (in shares) at Jun. 30, 2019 |  |  |  | 235,518,000 |  |  |  |  |
Beginning Balance at Jun. 30, 2019 |  | 6,579.1 |  | $ 47.1 |  | 654.6 |  | 5,915.9 | (38.5)
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |
Net income |  | 545.9 |  |  |  |  |  | 545.9 |
Other comprehensive income (loss), net of tax |  | (10.2) |  |  |  |  |  |  | (10.2)
Dividends declared |  | (182.7) |  |  |  |  |  | (182.7) |
Common stock-based compensation plans activity |  |  |  |  |  |  |  |  |
Shares issued upon option exercises (in shares) |  |  |  | 782,000 |  |  |  |  |
Shares issued upon option exercises |  | 36.5 |  | $ 0.1 |  | 36.4 |  |  |
Net shares issued upon vesting of restricted stock units (in shares) |  |  |  |  | 18,000 |  |  |  |
Net shares issued upon vesting of restricted stock units |  |  | $ (1.2) |  |  |  | $ (1.2) |  |
Forfeiture of restricted awards (in shares) |  |  |  | (3,000) |  |  |  |  |
Stock-based compensation expense |  | 45.5 |  |  |  | 45.5 |  |  |
Common shares repurchased (in shares) |  |  |  | (1,613,000) |  |  |  |  |
Common shares repurchased |  | (173.1) |  | $ (0.3) |  | (80.7) |  | (92.1) |
Balances (in shares) at Sep. 30, 2019 |  |  |  | 234,702,000 |  |  |  |  |
Ending Balance at Sep. 30, 2019 |  | 6,839.8 |  | $ 46.9 |  | $ 654.6 |  | $ 6,187.0 | $ (48.7)
Beginning balances attributable to redeemable non-controlling interests at Jun. 30, 2019 |  | 1,012.3 |  |  |  |  |  |  |
Increase (Decrease) in Temporary Equity [Roll Forward] |  |  |  |  |  |  |  |  |
Net income (loss) attributable to redeemable non-controlling interests |  | (0.8) |  |  |  |  |  |  |
Other comprehensive income (loss), net of tax, attributable to redeemable non-controlling interests |  | (17.4) |  |  |  |  |  |  |
Net subscriptions into consolidated T. Rowe Price investment products |  | 181.1 |  |  |  |  |  |  |
Net reconsolidations (deconsolidations) of T. Rowe Price investment products |  | (72.3) |  |  |  |  |  |  |
Ending balances attributable to redeemable non-controlling interests at Sep. 30, 2019 |  | $ 1,102.9 |  |  |  |  |  |  |
[1] | 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.
[2] | Accumulated other comprehensive income.

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