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Equity Method Investments in Affiliates
9 Months Ended
Sep. 30, 2018
Equity Method Investments and Joint Ventures [Abstract]  
Equity Method Investments in Affiliates
Equity Method Investments in Affiliates
The following table presents the change in Equity method investments in Affiliates (net):
 
Equity Method Investments in Affiliates (Net)
Balance, as of December 31, 2017
$
3,304.7

Equity method earnings
300.3

Equity method intangible amortization and impairments
(109.0
)
Distributions of earnings from equity method investments
(410.3
)
Foreign currency translation
(21.3
)
Other
(9.1
)
Balance, as of September 30, 2018
$
3,055.3


Definite-lived acquired relationships at the Company’s equity method Affiliates are amortized over their expected period of economic benefit. The Company recognized amortization expense for these relationships of $25.9 million and $71.7 million for the three and nine months ended September 30, 2017, respectively, and $22.2 million and $109.0 million for the three and nine months ended September 30, 2018, respectively. Based on relationships existing as of September 30, 2018, the Company estimates the annual amortization expense attributable to its equity method Affiliates will be approximately $100 million in 2018 and approximately $90 million in each of 2019, 2020, 2021 and 2022.
In the second quarter of 2018, the Company recognized a $33.3 million expense ($25.0 million net of tax), which together with an expense recorded in the fourth quarter of 2017, reduced the carrying value of the Company’s investment in the Affiliate to zero.
The Company has determined that one of its equity method Affiliates is significant under Rule 10-01(b)(1) of Regulation S-X. For the three and nine months ended September 30, 2017, this equity method Affiliate recognized revenue of $301.8 million and $826.6 million, respectively, and net income of $178.3 million and $471.3 million, respectively. For the three and nine months ended September 30, 2018, this equity method Affiliate recognized revenue of $283.2 million and $884.9 million, respectively, and net income of $135.0 million and $443.3 million, respectively.