Can you please tell me if it is correct and natural to say find someone by their phone number in the context of searching someone's information in a system? For example:
I don't see any appoinments set up under your name in our system. Let me try to find you by your phone number.
If it doesn't sound natual, does let me try to find you with your phone number sounds better?
If they don't sound natural, would you give me alternative phrases to convey the message.