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Retirement Benefit Plans (Changes in the fair value of plan assets) (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Beginning balance $ 424.1  
Ending balance 486.9 $ 424.1
Retirement Plans [Member]    
Beginning balance 424.1 422.7
Actual return on plan assets 52.3 71.0
Exchange difference 41.9 (69.9)
Contributions from the company 11.8 14.2
Benefits paid (9.0) (13.9)
Settlement and other (34.2) 0.0
Ending balance $ 486.9 $ 424.1