Squaring involves the tensoring between the state content of two super Yang-Mills (sYM) theories to obtain the state content of a supergravity theory. Understanding the YM origin of gravitational symmetries is a powerful tool towards classifying gravity theories which admit such a factorisation. In the first part of the talk I will show how the global symmetries of a pair of sYM theories combine to form those of the corresponding supergravity. In the second part I will discuss how these tools can be further extended to sYM coupled to matter such that squaring can give all ungauged N=2 supergravities with homogeneous scalar manifold.