Organizations can adopt the Agile mindset in many ways. Scrum, being an Agile subset, is one of them. However, focusing on Scrum only and not adopting a true End-to-End Lean-Agile process will challenge the organization capability to deliver true value to its customers. The challenge is even greater in large organizations.
Let's talk about "Agile Champions". One of the key success factors in Agile implementation is the early identification of the organizational "Agile Champions" who are going to be the first group to adopt the Agile mindset that will lead the Agile organization in the long run.