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Retirement Benefit Plans (Tables)
 9 Months Ended
Sep. 30, 2019
Pension Plan [Member]  
Defined Benefit Plan Disclosure [Line Items]  
Net periodic benefit cost for the Company's retirement benefit plans
The following table sets forth the net periodic benefit cost for the Company’s defined benefit pension plans. The amounts for the three and nine months ended September 30, 2019 are based on calculations prepared by the Company's actuaries and represent the Company’s best estimate of the respective period’s proportionate share of the amounts to be recorded for the year ending December 31, 2019.
 
U.S. Plans
International Plans
Total
 
Three Months Ended
September 30,
Three Months Ended
September 30,
Three Months Ended
September 30,
 
2019
2018
2019
2018
2019
2018
Components of net periodic
   benefit cost:
 
 
 
 
 
 
Service cost
$
2.6

$
3.3

$
0.4

$
0.4

$
3.0

$
3.7

Interest cost
5.7

6.0

1.8

1.8

7.5

7.8

Expected return on plan assets
(6.4
)
(7.6
)
(2.4
)
(2.9
)
(8.8
)
(10.5
)
Amortization of prior service cost
0.4

0.4

—

0.1

0.4

0.5

Recognition of actuarial losses
7.0

4.8

—

—

7.0

4.8

   Net periodic benefit cost
$
9.3

$
6.9

$
(0.2
)
$
(0.6
)
$
9.1

$
6.3

 
U.S. Plans
International Plans
Total
 
Nine Months Ended
September 30,
Nine Months Ended
September 30,
Nine Months Ended
September 30,
 
2019
2018
2019
2018
2019
2018
Components of net periodic benefit cost:
 
 
 
 
 
 
Service cost
$
7.8

$
9.7

$
1.2

$
1.2

$
9.0

$
10.9

Interest cost
17.7

17.7

5.5

5.5

23.2

23.2

Expected return on plan assets
(19.2
)
(22.2
)
(7.6
)
(8.8
)
(26.8
)
(31.0
)
Amortization of prior service cost
1.2

1.2

0.1

0.1

1.3

1.3

Recognition of actuarial losses
7.0

2.4

—

—

7.0

2.4

Net periodic benefit cost
$
14.5

$
8.8

$
(0.8
)
$
(2.0
)
$
13.7

$
6.8