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Employee plans (Tables)
 12 Months Ended
Dec. 31, 2020
Defined Benefit Plan Disclosure [Line Items]  
Summary of Restricted Stock Unit Activity A summary of restricted stock unit activity for the year ended December 31, 2020 follows (shares in thousands):
Restricted Stock UnitsWeighted-Average Grant-Date Fair Value
Outstanding at December 31, 20192,040 $14.17 
Granted752 22.48 
Vested(940)13.80 
Forfeited and expired(126)16.10 
Outstanding at December 31, 20201,726 17.87 
Schedule of Weighted-Average Assumptions The fair value of awards with market conditions is estimated using a Monte Carlo simulation with the following weighted-average assumptions.
Year ended December 31,20202019
Weighted-average fair value of grant$28.33 $16.58 
Risk-free interest rate(i)
1.35 %2.49 %
Expected volatility(ii)
51.81 %47.91 %
Expected life of restricted stock units in years(iii)
2.862.87
Expected dividend yield— %— %
(i)
Represents the continuously compounded semi-annual zero-coupon U.S. treasury rate commensurate with the remaining performance period
(ii)
Based on historical volatility for the company that is commensurate with the length of the performance period
(iii)
Represents the remaining life of the longest performance period
Schedule of Accumulated Benefit Obligation in Excess of Plan Assets Information for defined benefit retirement plans with an accumulated benefit obligation in excess of plan assets follows:
As of December 31,20202019
Accumulated benefit obligation$6,060.7 $6,896.5 
Fair value of plan assets$4,839.5 $5,014.1 
Schedule of Projected Benefit Obligation in Excess of Plan Assets Information for defined benefit retirement plans with a projected benefit obligation in excess of plan assets follows:
As of December 31,20202019
Projected benefit obligation$6,063.0 $6,898.7 
Fair value of plan assets$4,839.5 $5,014.1 
Assumed Health Care Cost Trend Rates
Assumed health care cost trend rates at December 31,20202019
Health care cost trend rate assumed for next year5.4 %5.8 %
Rate to which the cost trend rate is assumed to decline (the ultimate trend rate)4.5 %4.5 %
Year that the rate reaches the ultimate trend rate20252025
Schedule of Plans' Assets (Liabilities) at Fair Value
The following table sets forth by level, within the fair value hierarchy, the plans’ assets (liabilities) at fair value at December 31, 2020.
 U.S. PlansInternational Plans
As of December 31, 2020Fair ValueLevel 1Level 2Level 3Fair ValueLevel 1Level 2Level 3
Pension plans
Equity Securities
Common Stocks$774.1 $771.2 $2.9 $— $— $— $— $— 
Commingled Funds640.6 640.6 153.4 153.4 
Debt Securities
U.S. Govt. Securities388.5 388.5 
Other Fixed Income589.9 589.9 125.8 125.8 
Insurance Contracts127.5 127.5 
Commingled Funds689.9 689.9 471.2 471.2 
Real Estate
Real Estate Investment Trusts112.1 112.1 2.0 2.0 
Other
Derivatives(i)
(67.3)5.0 (72.3)20.5 20.5 
Commingled Funds381.4 381.4 
Pooled Funds233.4 233.4 178.0 178.0 
Cumulative futures contracts variation margin paid to brokers(1.1)(1.1)
Cash21.8 21.8 111.7 111.7 
Receivables28.8 28.8 2.1 2.1 
Payables(7.3)(7.3)  (20.7)(20.7)  
Total plan assets in fair value hierarchy$3,403.4 $1,319.0 $2,084.4 $— $1,552.9 $93.1 $1,332.3 $127.5 
Plan assets measured using NAV as a practical expedient(ii):
Commingled Funds
Equity$— $429.9 
Debt121.7 1,067.4 
Other104.2 27.4 
Private Real Estate208.0 51.8 
Private Equity10.5 — 
Total pension plan assets$3,847.8 $3,129.4 
Other postretirement plans
Insurance Contracts$6.0   $6.0 
(i) Level 1 derivatives represent unrealized appreciation or depreciation on open futures contracts. The value of open futures contracts includes derivatives and the cumulative futures contracts variation margin paid to or received from brokers.
(ii) Investments measured at fair value using NAV as a practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table for these investments are included to permit reconciliation of the fair value hierarchy to the total plan assets.
The following table sets forth by level, within the fair value hierarchy, the plans’ assets (liabilities) at fair value at December 31, 2019.
 U.S. PlansInternational Plans
As of December 31, 2019Fair ValueLevel 1Level 2Level 3Fair ValueLevel 1Level 2Level 3
Pension plans
Equity Securities
Common Stocks$955.3 $952.8 $2.5 $—$— $— $— $— 
Commingled Funds578.8 578.8 176.7 176.7 
Debt Securities
U.S. Govt. Securities436.0 436.0 
Other Fixed Income278.1 278.1 91.0 — 91.0 
Insurance Contracts123.1 123.1 
Commingled Funds433.6 433.6 441.0 441.0 
Real Estate
Real Estate Investment Trusts14.0 14.0 1.0 1.0 
Commingled Funds186.5 186.5 
Other
Derivatives(i)
(103.5)(8.2)(95.3)6.5 6.5 
Commingled Funds372.8 372.8 
Pooled Funds135.5 135.5 189.2 189.2 
Cumulative futures contracts variation margin received from brokers8.2 8.2 
Cash2.0 2.0 18.1 18.1 
Receivables14.4 14.4 0.2 0.2 
Payables(7.4)(7.4)  (7.3)(7.3)  
Total plan assets in fair value hierarchy$2,931.5 $1,411.8 $1,519.7 $— $1,412.3 $11.0 $1,278.2 $123.1 
Plan assets measured using NAV as a practical expedient(ii):
Commingled Funds
Equity$— $406.9 
Debt86.3 941.0 
Other127.0 24.8 
Private Real Estate189.0 31.4 
Private Equity0.4 — 
Total pension plan assets$3,334.2 $2,816.4 
Other postretirement plans
Insurance Contracts$6.9 $6.9 
(i) Level 1 derivatives represent unrealized appreciation or depreciation on open futures contracts. The value of open futures contracts includes derivatives and the cumulative futures contracts variation margin received from brokers.
(ii) Investments measured at fair value using NAV as a practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table for these investments are included to permit reconciliation of the fair value hierarchy to the total plan assets.
Summary of Changes in the Fair Value of the Plans' Level 3 Assets
The following table sets forth a summary of changes in the fair value of the plans’ Level 3 assets for the year ended December 31, 2020.
January 1,
2020		Realized
gains
(losses)		Purchases
or
acquisitions		Sales
or
dispositions		Currency and unrealized gains (losses) relating to instruments still held at December 31, 2020December 31,
2020
U.S. plans
Other postretirement plans
Insurance Contracts$6.9 $(0.4)$— $(0.5)$— $6.0 
International pension plans
Insurance Contracts$123.1 $— $4.1 $(11.5)$11.8 $127.5 
The following table sets forth a summary of changes in the fair value of the plans’ Level 3 assets for the year ended December 31, 2019.
January 1,
2019		Realized
gains
(losses)		Purchases
or
acquisitions		Sales
or
dispositions		Currency and unrealized gains (losses) relating to instruments still held at December 31, 2019December 31,
2019
U.S. plans
Other postretirement plans
Insurance Contracts$7.8 $(0.3)$— $(0.6)$— $6.9 
International pension plans
Insurance Contracts$123.7 $— $6.4 $(12.0)$5.0 $123.1 
Schedule of Additional Information About Plan Assets Valued Using Net Asset Value
The following table presents additional information about plan assets valued using the net asset value as a practical expedient within the fair value hierarchy table.
20202019
Fair ValueUnfunded Commit-mentsRedemption FrequencyRedemption Notice Period RangeFair ValueUnfunded Commit-mentsRedemption FrequencyRedemption Notice Period Range
U.S. plans
Commingled Funds
Debt$121.7 $— Monthly45 days$86.3 $— Monthly45 days
Other104.2 — Monthly5 days127.0 — Monthly5 days
Private Real Estate(i)
208.0 15.7 Quarterly
60-90 days
189.0 44.4 Quarterly
60-90 days
Private Equity(ii)
10.5 20.9 0.4 — 
Total$444.4 $36.6 $402.7 $44.4 
International pension plans
Commingled Funds
Equity$429.9 $— Weekly
Up to 2 days
$406.9 $— Weekly
Up to 2 days
Debt1,067.4 86.2  Weekly, Bimonthly, Monthly, Quarterly
Up to 120 days
941.0 117.9 Daily, Weekly, Biweekly, Bimonthly, Monthly, Quarterly
Up to 120 days
Other27.4 — Monthly
Up to 30 days
24.8 — Monthly
Up to 30 days
Private Real Estate51.8 — Monthly
Up to 90 days
31.4 — Monthly
Up to 90 days
Total$1,576.5 $86.2 $1,404.1 $117.9 
(i) Includes investments in private real estate funds. The funds invest in U.S. real estate and allow redemptions quarterly, though queues, restrictions and gates may extend the period. A redemption has been requested from one fund, which has a redemption queue with estimates of full receipt of three to four years.
(ii) Includes investments in limited partnerships, which invest primarily in secondaries markets, U.S. buyouts and venture capital. The investments can never be redeemed.
Pension Plans  
Defined Benefit Plan Disclosure [Line Items]  
Schedule of Weighted-Average Assumptions Weighted-average assumptions used to determine net periodic pension cost were as follows:
 U.S. PlansInternational Plans
Year ended December 31,202020192018202020192018
Discount rate3.53 %4.50 %3.87 %1.82 %2.55 %2.24 %
Expected long-term rate of return on assets6.50 %6.80 %6.80 %3.50 %4.18 %4.38 %
Weighted-average assumptions used to determine benefit obligations at December 31 were as follows:
Discount rate2.85 %3.53 %4.50 %1.23 %1.82 %2.55 %
Funded Status of the Plan and Amounts Recognized in Consolidated Balance Sheet Retirement plans’ funded status and amounts recognized in the company’s consolidated balance sheets follows:
 U.S. PlansInternational Plans
As of December 31,2020201920202019
Change in projected benefit obligation
Benefit obligation at beginning of year$4,755.6 $4,558.0 $3,143.8 $2,829.5 
Service cost— — 2.8 2.8 
Interest cost162.5 197.5 53.4 68.3 
Plan participants’ contributions— — 1.1 1.3 
Plan curtailment— — (1.6)(1.6)
Plan settlement(277.3)— — (3.5)
Actuarial loss253.9 357.7 226.5 284.1 
Benefits paid(349.4)(357.6)(119.0)(118.1)
Foreign currency translation adjustments— — 161.0 81.0 
Benefit obligation at end of year$4,545.3 $4,755.6 $3,468.0 $3,143.8 
Change in plan assets
Fair value of plan assets at beginning of year$3,334.2 $3,112.8 $2,816.4 $2,539.4 
Actual return on plan assets347.2 505.2 254.7 300.0 
Employer contribution793.1 73.8 33.1 30.1 
Plan participants’ contributions— — 1.1 1.3 
Plan settlement(277.3)— — (3.5)
Benefits paid(349.4)(357.6)(119.0)(118.1)
Foreign currency translation adjustments— — 143.1 67.2 
Fair value of plan assets at end of year$3,847.8 $3,334.2 $3,129.4 $2,816.4 
Funded status at end of year$(697.5)$(1,421.4)$(338.6)$(327.4)
Amounts recognized in the consolidated balance sheets consist of:
Prepaid postretirement assets$27.2 $— $160.3 $135.9 
Other accrued liabilities(6.1)(6.8)(0.2)(0.2)
Long-term postretirement liabilities(718.6)(1,414.6)(498.7)(463.1)
Total funded status$(697.5)$(1,421.4)$(338.6)$(327.4)
Accumulated other comprehensive loss, net of tax
Net loss$2,510.4 $2,672.7 $1,116.9 $1,067.2 
Prior service credit$(32.3)$(34.8)$(45.9)$(46.4)
Accumulated benefit obligation$4,545.3 $4,755.6 $3,360.4 $3,035.3 
Components of Net Periodic Cost (Income)
Net periodic pension cost (income) includes the following components:
 U.S. PlansInternational Plans
Year ended December 31,202020192018202020192018
Service cost(i)
$— $— $— $2.8 $2.8 $3.2 
Interest cost162.5 197.5 186.6 53.4 68.3 67.3 
Expected return on plan assets(208.6)(218.2)(230.6)(90.6)(104.6)(114.4)
Amortization of prior service credit(2.5)(2.5)(2.5)(2.5)(2.5)(3.7)
Recognized net actuarial loss135.5 116.6 125.1 43.2 34.2 42.3 
Curtailment gain— — — — (0.1)— 
Settlement loss142.1 — — — 1.2 6.4 
Net periodic pension cost (income)$229.0 $93.4 $78.6 $6.3 $(0.7)$1.1 
(i) Service cost is reported in cost of revenue - services and selling, general and administrative expenses. All other components of net periodic pension cost are reported in other expense, net in the consolidated statements of income.
Company's Investment Policy Targets and Ranges for Each Asset Category The company’s investment policy targets and ranges for each asset category are as follows:
 U.S.International
Asset CategoryTargetRangeTargetRange
Equity securities32 %
26-38%
19 %
16-23%
Debt securities53 %
49-57%
61 %
54-67%
Real estate0 %0 %1 %
0-3%
Cash0 %
0-5%
1 %
0-5%
Other15 %
5-25%
18 %
11-26%
Expected Future Benefit Payments As of December 31, 2020, the following benefit payments are expected to be paid from the defined benefit pension plans:
Year ending December 31,U.S.International
2021$352.8 $114.8 
2022346.5 117.7 
2023339.6 121.1 
2024331.9 125.0 
2025323.0 126.9 
2026 - 20301,453.2 677.3 
Other Postretirement Benefit Plans  
Defined Benefit Plan Disclosure [Line Items]  
Schedule of Weighted-Average Assumptions
Weighted-average assumptions used to determine net periodic postretirement benefit cost were as follows:
Year ended December 31,202020192018
Discount rate5.13 %5.67 %5.30 %
Expected return on plan assets5.50 %5.50 %5.50 %
Weighted-average assumptions used to determine benefit obligation at December 31 were as follows:
Year ended December 31,202020192018
Discount rate2.21 %5.13 %5.67 %
Funded Status of the Plan and Amounts Recognized in Consolidated Balance Sheet A reconciliation of the benefit obligation, fair value of the plan assets and the funded status of the postretirement benefit plans follows:
As of December 31,20202019
Change in accumulated benefit obligation
Benefit obligation at beginning of year$95.7 $96.2 
Service cost0.5 0.5 
Interest cost4.4 4.8 
Plan participants’ contributions2.3 2.7 
Actuarial loss (gain)(13.8)1.0 
Benefits paid(8.8)(8.9)
Foreign currency translation and other adjustments(0.1)(0.6)
Benefit obligation at end of year$80.2 $95.7 
Change in plan assets
Fair value of plan assets at beginning of year$6.9 $7.8 
Actual return on plan assets(0.4)(0.2)
Employer contributions6.0 5.5 
Plan participants’ contributions2.3 2.7 
Benefits paid(8.8)(8.9)
Fair value of plan assets at end of year$6.0 $6.9 
Funded status at end of year$(74.2)$(88.8)
Amounts recognized in the consolidated balance sheets consist of:
Prepaid postretirement assets$— $0.3 
Other accrued liabilities(5.4)(6.6)
Long-term postretirement liabilities(68.8)(82.5)
Total funded status$(74.2)$(88.8)
Accumulated other comprehensive loss, net of tax
Net loss$(3.0)$11.1 
Prior service credit(4.9)(6.6)
Components of Net Periodic Cost (Income) Net periodic postretirement benefit cost follows:
Year ended December 31,202020192018
Service cost(i)
$0.5 $0.5 $0.6 
Interest cost4.4 4.8 4.8 
Expected return on assets(0.4)(0.4)(0.4)
Amortization of prior service cost(1.6)(1.7)(1.6)
Recognized net actuarial loss1.0 0.7 1.0 
Net periodic benefit cost$3.9 $3.9 $4.4 
(i) Service cost is reported in selling, general and administrative expenses. All other components of net periodic benefit cost are reported in other expense, net in the consolidated statements of income.
Expected Future Benefit Payments As of December 31, 2020, the following benefits are expected to be paid from the company’s postretirement plans:
Year ending December 31,Expected
Payments
2021$6.3 
20226.0 
20235.6 
20245.3 
20254.9 
2026 – 203019.9