During the fibrillation process amyloid proteins undergo structural changes at very different length and time scales. Small angle X-ray scattering (SAXS) is a method that is uniquely suitable for the structural analysis of this process. Careful measures must, however, be taken both in the sample preparation, data collection and data analysis procedures to ensure proper data quality, coverage of the process and reliable interpretation. With this chapter, we provide many details about the data analysis of such developing systems. The recommendations are based on our own experience with analysis of data from several amyloid and amyloid-like proteins, with data decomposition being a central point in the procedure. We focus on two alternative approaches, one being a laborious, hands-on, iterative approach, the other being more automated, applying a chemometrics based software, developed for the purpose. Both methods can equally well be applied to other developing mixtures, but specific recommendations for amyloid samples are emphasized in this chapter.