We maintain qualified and nonqualified defined benefit retirement plans covering certain current and former U.S. and European employees, retirement savings plans covering eligible U.S. and U.K. employees and certain postretirement health care and life insurance benefit plans covering eligible U.S. retirees. We also participate in a union sponsored multi-employer pension plan covering certain U.S. employees with union affiliations.

Net periodic benefit costs of our defined benefit retirement plans for the three months ended March 31, 2020 and 2019 were as follows:

	Quarter Ended March 31,
(In millions)	2020		2019
U.S. Nonqualified Defined Benefit Retirement Plans
Service cost	$	0.3	$	0.3
Interest cost		0.1		0.2
Net amortization		0.1	—
Net periodic benefit cost	$	0.5	$	0.5

(In millions)	March 31, 2020		December 31, 2019
Amounts recognized on the balance sheet for U.S. nonqualified defined benefit retirement plans:
Accrued liabilities	$	1.3	$	1.4
Other non-current liabilities		19.3		18.9
	$	20.6	$	20.3

	Quarter Ended March 31,
(In millions)	2020			2019
European Defined Benefit Retirement Plans
Service cost	$	0.2		$	0.3
Interest cost		0.9			1.1
Expected return on plan assets		(1.7	)		(2.2	)
Net amortization and deferral		0.1			0.1
Net periodic benefit credit	$	(0.5	)	$	(0.7	)

(In millions)	March 31, 2020		December 31, 2019
Amounts recognized on the balance sheet for European defined benefit retirement plans:
Other assets	$	44.1	$	45.2

Accrued liabilities		1.3		0.6
Other non-current liabilities		18.8		18.9
Total accrued benefit	$	20.1	$	19.5

All costs related to our pensions are included as a component of operating income in our condensed consolidated statements of operations. For the three month periods ended March 31, 2020 and 2019, amounts unrelated to service costs were a benefit of $0.5 million and $0.8 million, respectively.

We generally fund our U.S. non-qualified defined benefit retirement plans when benefit payments are incurred. We have contributed approximately $0.1 million in the first three months of 2020 to cover unfunded benefits. We expect to contribute a total of $1.4 million in 2020 to cover unfunded benefits. We contributed $0.2 million to our U.S. non-qualified defined benefit retirement plans during the quarter ended March 31, 2019.

We contributed $1.0 million and $1.2 million to our European defined benefit retirement plans during the three months ended March 31, 2020 and 2019, respectively. We plan to contribute approximately $5.0 million during 2020 to our European plans.

We recorded $0.2 million and $0.3 million of net amortization gain deferral for the three months ended March 31, 2020 and 2019, respectively. Net periodic benefit costs of our postretirement health care and life insurance benefit plans for the three months ended three months ended March 31, 2020 and 2019 were immaterial.

(In millions)	March 31, 2020		December 31, 2019
Amounts recognized on the balance sheet:
Accrued liabilities	$	0.5	$	0.5
Other non-current liabilities	2.6		2.6
Total accrued benefit	$	3.1	$	3.1

Amounts contributed in connection with our postretirement plans were immaterial for both the three months ended March 31, 2020 and March 31, 2019. We periodically fund our postretirement plans to pay covered expenses as they are incurred. We expect to contribute less than $0.5 million in 2020 to cover unfunded benefits.