Is the Higgs boson elementary or composite? With increasingly precise measurements of the Higgs couplings to other Standard Model particles, this question can be answered quantitatively with reasonable assumptions and approximations. Here I shall discuss the minimal and non-minimal versions of composite Higgs models by briefly introducing the concept behind constructing such models with a phenomenological outlook, highlighting the main experimental constraints on the model parameters. Mention will be made of fine-tuning involved in constructing a realistic composite Higgs model.