Measuring success through money could mean you have achieved financial independence, which every individual should ideally achieve.
Again, if you are in a job, then success could mean being able to deliver as per commitments, going above and beyond to not only satisfy but delight your clients.
If you ask me, I measure success by how much difference I am able to make to someone's life, who can provide me no return whatsoever.
Be kind and patient to yourself and authentic to others.
Success to me is when you are done with the day, you can look back at say, wow, I made someone else's life better today!
Success is often in the eye of the beholder and based on the situation. The best kind of success metric is one that you create for yourself. I have teammates at work who measure success in a variety of ways: the ability to be promoted quickly to a desired role, salary, wining awards, getting assigned high profile projects, and being considered an expert that others should go to. Success metrics will vary over time as well. When I was younger, salary was a primary factor. It is an easy way to keep "score". For me, salary allowed me to have the living situation that I wanted. Once I was able to meet that goal regularly, an increase in salary became less important. After a while, working for a well known company became a success metric for me. I was proud to work for large, well-respected organizations. I am still there in many way. Now I feel successful as a person by the amount of time that I volunteer to help others. My company facilitates that as well.
My best recommendation would be to try and remember that how you view and measure success will likely change over the course of your career. In the beginning years, success might be tied to how much knowledge you gain and what areas you are exposed to. As you progress further into your career, success can for some can be more closely tied to job titles and salaries, while others may judge their success based on how passionate they are about the work they're doing, or how close they are to accomplishing a larger goal they have.
Regardless of how you decide to define success, I would encourage you to be open minded and not let other people's definition impact your own.