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Acquisitions
 6 Months Ended
Mar. 28, 2020
Business Combinations [Abstract]  
Acquisitions Acquisitions
Acquisition-related costs in the second quarter and first six months of 2020 totaled $0.3 million and $7.4 million, respectively compared to $0.4 million and $0.8 million, respectively in the second quarter and first six months of 2019. Acquisition-related costs include direct costs of potential and completed acquisitions (e.g., investment banker fees and professional fees, including legal and valuation services) and expenses related to acquisition integration activities (e.g., professional fees and severance). In addition, subsequent adjustments to our initial estimated amount of contingent consideration associated with specific acquisitions are included within acquisition-related charges. These costs are classified in general and administrative expenses in the accompanying Consolidated Statements of Operations.
Our results of operations include the results of acquired businesses beginning on their respective acquisition date. Our results of operations for the reported periods if presented on a pro forma basis would not differ materially from our reported results.
Onshape
On November 1, 2019, we completed our acquisition of Onshape Inc. pursuant to the Agreement and Plan of Merger dated as of October 23, 2019 by and among Onshape Inc., OPAL Acquisition Corporation and the Stockholder Representative named therein, the terms of which are described in the Form 8-K filed by PTC on October 23, 2019 and which is filed as Exhibit 1.1 to that Form 8-K. PTC paid approximately $469 million, net of cash acquired, for Onshape, which amount we borrowed under our existing credit facility. Onshape is not expected to be material to our 2020 results.
The acquisition of Onshape has been accounted for as a business combination. Assets acquired and liabilities assumed have been recorded at their estimated fair values as of the acquisition date. The fair values of intangible assets were based on valuations using a discounted cash flow model which requires the use of significant estimates and assumptions, including estimating future revenues and costs. The excess of the purchase price over the tangible assets, identifiable intangible assets and assumed liabilities was recorded as goodwill.
The purchase price allocation resulted in $364.9 million of goodwill, $56.8 million of customer relationships, $47.3 million of purchased software, $3.6 million of trademarks and $4.1 million of other net liabilities. The acquired customer relationships, purchased software, and trademarks are being amortized over useful lives of 10 years, 16 years, and 15 years, respectively, based on the expected benefit pattern of the assets. The acquired goodwill was allocated to our software products segment and will not be deductible for income tax purposes. The resulting amount of goodwill reflects the expected value that will be created by accelerating CAD and PLM growth, especially in the low-end of the market and participating in future growth in the CAD and PLM SaaS market.
Frustum
On November 19, 2018, we acquired Frustum Inc. for $69.5 million (net of cash acquired of $0.7 million). We financed the acquisition with borrowings under our credit facility. Frustum is engaged in next-generation computer-aided design, including generative design, an approach that leverages artificial intelligence to generate design options. At the time of the acquisition, Frustum had approximately 12 employees and historical annualized revenues were not material.
The acquisition of Frustum was accounted for as a business combination. Assets acquired and liabilities assumed were recorded at their estimated fair values as of the acquisition date. The fair values of intangible assets were based on valuations using a discounted cash flow model which requires the use of significant estimates and assumptions, including estimating future revenues and costs. The excess of the purchase price over the tangible assets, identifiable intangible assets and assumed liabilities was recorded as goodwill. 
The purchase price allocation resulted in $53.7 million of goodwill, $17.9 million of purchased software and $2.1 million of other net liabilities. The acquired technology is being amortized over a useful life of 15 years based on the expected benefit pattern of the assets. The acquired goodwill was allocated to our software products segment and will not be deductible for income tax purposes. The resulting amount of goodwill reflects the expected value that will be created by integrating Frustum generative design technology into our CAD solutions.