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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]
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.