The understanding that comes with scientific explanation is regarded as one of the central epistemic aims of science. In earlier work I have argued that scientists achieve understanding of phenomena by basing their explanations on intelligible theories, where intelligibility is a contextually determined value. In this article, I address the question of how the aim of understanding relates to other epistemic aims of science, such as prediction of empirical evidence and accurate description of phenomena. Moreover, I examine the associated values and analyze their role and interaction through a historical case study.