We summarize the double copy approach to perturbative gravity. This formulation is based on the idea that gravity is mediated by massless spin 2 gravitons, and that the complete perturbative interactions can be directly expressed in terms of products of spin 1 interactions. While equivalent to the standard geometric formulation of gravity, it is well suited for problems that can be phrased as perturbative expansions around flat space. We present two examples where the method has proven useful : high-order studies of the ultraviolet properties of supergravity theories and high-order calculations relevant for gravitational-wave physics.