That determines whether you need it or not.
Also, should a theft occur, you might find yourself without any recourse.
This list (without the credit card numbers) will help you and your insurance agent determine the value of your possessions should an unforeseen event occur (fire, flood, burglary, etc). From that vantage point, it will be easier for you to decide whether renter's insurance is worth it. I'll bet you decide it is worth it...