If you put something into perspective you show that you realize or make others realize the importance/significance of the thing you are referring to. Alternatively, it means you put the thing into its correct place (or make it clear for you and others).
1. You know that we have done a good research. We ask you to do a favor for us and put it into perspective when you talk to the stakeholders. (to show the significance of our work)
2.Let's put it into perspective: 100 years ago the frequency of skin cancer was way lower than what it is now. (to give a clear idea of what has happened)