So sorry to hear about your spoiled food!
Your food is considered your personal property, so the loss of it will be covered under most renters insurance policies.
Keep in mind that the policy will only cover the food if the power loss was unexpected, not if you failed to pay your account and the electricity was turned off as a result—and from the sounds of it, your power outage was definitely unexpected! If you do not have receipts for the food, take photographs of the spoiled food and offer to share them with the insurer.
With Jerry, it’s all the savings and coverage, and none of the hassles.