1. A computer-implemented method for displaying performance data for a computing environment, the method comprising: determining values for a performance metric for entities that comprise the computing environment; and displaying the computing environment as a tree comprising nodes representing the entities and edges representing parent-child relationships between the entities; wherein while displaying each leaf node in the tree, the method comprises: comparing the values of the performance metric against one or more state-specific threshold values to determine a performance state for the leaf node; and displaying the leaf node as a first shape comprising an indicator for the performance state for the leaf node; wherein while displaying each parent node in the tree, the method comprises: determining a performance state of the parent node based on counts of performance states for leaf nodes under the parent node; displaying the parent node as second shape comprising an indicator of the performance state of the parent node; and wherein while displaying a set of child nodes for each parent node, the method comprises: determining a sorted order for the set of child nodes based on performance states for the child nodes; and displaying the set of child nodes in the sorted order.