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Acquisitions (Tables)
 12 Months Ended
Dec. 31, 2017
Business Combinations [Abstract]  
Summary of aggregate disclosure related to business acquisitions
The following table summarizes an aggregate disclosure related to business acquisitions completed in 2017:
 
Total
Consideration
Cash paid, net
of cash
acquired
Contingent Consideration (1)
Allocation of
purchase price
to Intangible
assets, net (2)
Weighted
average useful
life of acquired intangible assets
Excess purchase
price allocated
to Goodwill
Aggregate total
$
66.0

$
57.7

$
7.5

$
56.4

8.3 Years
$
14.6

1 Contingent consideration as determined by fair value and included in the consideration transferred, with no material changes subsequent to the initial measurement.
2 Intangible assets primarily consist of technology-based and customer relationship intangible assets. The fair value of these intangible assets was determined using a combination of a relief from royalty method and the excess earnings method using Level 3 in the hierarchy as established by ASC 820. The discount rates and royalty rates used in the valuation analysis ranged between 9% and 20% and 1% and 16%, respectively.