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OTHER COMPREHENSIVE INCOME AND ACCUMULATED OTHER COMPREHENSIVE LOSS. (Accumulated Other Comprehensive Income (Loss)) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2019
Sep. 30, 2018
Dec. 31, 2017
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Beginning Balance $ 6,579.1 $ 6,114.6 $ 6,124.3 $ 5,824.4  
Other comprehensive income (loss) (10.2) (7.3) (6.7) (17.2)  
Ending Balance 6,839.8 6,460.5 6,839.8 6,460.5  
Currency translation adjustments [Member]          
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Beginning Balance (38.5) (23.7) (42.0) (13.8)  
Other comprehensive income (loss) before reclassifications and income taxes (13.6) (9.6) (9.0) (19.4)  
Reclassification adjustments recognized in non-operating income 0.1 0.0 (0.1) (3.6)  
Other comprehensive income (loss), before taxes (13.5) (9.6) (9.1) (23.0)  
Net deferred tax benefits (income taxes) 3.4 2.3 2.5 5.8  
Other comprehensive income (loss) (10.1) (7.3) (6.6) (17.2)  
Ending Balance (48.6) (31.0) (48.6) (31.0)  
Currency translation adjustments [Member] | Equity method investments [Member]          
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Beginning Balance (43.8) (36.6) (48.8) (37.0)  
Other comprehensive income (loss) before reclassifications and income taxes (1.0) (7.1) 5.4 (6.6)  
Reclassification adjustments recognized in non-operating income 0.0 0.0 0.0 0.0  
Other comprehensive income (loss), before taxes (1.0) (7.1) 5.4 (6.6)  
Net deferred tax benefits (income taxes) 0.3 1.6 (1.1) 1.5  
Other comprehensive income (loss) (0.7) (5.5) 4.3 (5.1)  
Ending Balance (44.5) (42.1) (44.5) (42.1)  
Currency translation adjustments [Member] | Consolidated T. Rowe Price investment products - variable interest entities [Member]          
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Beginning Balance 5.3 12.9 6.8 23.2  
Other comprehensive income (loss) before reclassifications and income taxes (12.6) (2.5) (14.4) (12.8)  
Reclassification adjustments recognized in non-operating income 0.1 0.0 (0.1) (3.6)  
Other comprehensive income (loss), before taxes (12.5) (2.5) (14.5) (16.4)  
Net deferred tax benefits (income taxes) 3.1 0.7 3.6 4.3  
Other comprehensive income (loss) (9.4) (1.8) (10.9) (12.1)  
Ending Balance (4.1) 11.1 (4.1) 11.1  
Retained earnings [Member]          
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Beginning Balance 5,915.9 5,435.1 5,464.1 4,932.9  
Ending Balance 6,187.0 5,788.5 6,187.0 5,788.5  
Accumulated other comprehensive income (loss) [Member]          
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Beginning Balance [1] (38.5) (23.7) (42.0) (3.6)  
Other comprehensive income (loss) [1] (10.2) (7.3) (6.7) (17.2)  
Ending Balance [1] $ (48.7) $ (31.0) $ (48.7) $ (31.0)  
Accounting standards update 2016-01 [Member]          
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Cumulative effect adjustment upon adoption of new accounting guidance [2]         $ 14.5
Accounting standards update 2016-01 [Member] | Retained earnings [Member]          
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Cumulative effect adjustment upon adoption of new accounting guidance [2]         22.4
Accounting standards update 2016-01 [Member] | Accumulated other comprehensive income (loss) [Member]          
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Cumulative effect adjustment upon adoption of new accounting guidance [1],[2]         (7.9)
Accounting standards update 2016-01 [Member] | Reclassification out of accumulated other comprehensive income [Member] | Retained earnings [Member]          
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Cumulative effect adjustment upon adoption of new accounting guidance         7.9
Accounting standards update 2016-01 [Member] | Reclassification out of accumulated other comprehensive income [Member] | Accumulated other comprehensive income (loss) [Member]          
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Cumulative effect adjustment upon adoption of new accounting guidance         (7.9)
Accounting standards update 2018-02, available for sale securities [Member] | Retained earnings [Member]          
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Cumulative effect adjustment upon adoption of new accounting guidance         1.7
Accounting standards update 2018-02, available for sale securities [Member] | Accumulated other comprehensive income (loss) [Member]          
AOCI Attributable to Parent, Net of Tax [Roll Forward]          
Cumulative effect adjustment upon adoption of new accounting guidance         $ (1.7)
[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.