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Unrecognized tax benefits (Detail) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Income Tax [Abstract]      
Balance at Beginning of Year $ 219.7 $ 241.0 $ 262.2
Decreases for Tax Positions Related to Prior Years (20.9) (21.0) (21.1)
Lapse of the Applicable Statute of Limitations 0.0 (0.3) (0.1)
Balance at End of Year 198.8 219.7 241.0
Less Tax Attributable to Temporary Items Included Above (84.7) (105.9) (127.1)
Total Unrecognized Tax Benefits that if Recognized Would Affect the Effective Tax Rate $ 114.1 $ 113.8 $ 113.9