Success to me means completing a task and when looking back, thinking I couldn't have done it better. To succeed is to complete a task or assignment on time in an excellent manner. But that's only half of it. The results should be good and the people involved should gain a valuable lesson or experience. For example, if it was a group project, and only two people out of four really did the work, I wouldn't call that success. If everyone participated and worked together providing a valuable deliverable then it's a success. So I think both the result and the process should be great to call something a success.
If you asked 10 people what success means to them I would expect you would get 10 different answers. Many would think success is very closely correlated to financial success.