Once you understand the data and have organised it ready for analysis the rest is straightforward and not that much different to analysis in a single country context. The same tools and methods you would use in analysis of a domestic survey can be applied. The ESS has a helpful analysis support ESS EduNet which provides examples and a glossary of statistical terms. (click data then click on Methodological glossary) It has two worked examples on Social and Political Trust and Human Values both of which take you through the analytical process.