Why isn't my Galaxy S3 %100 charged?

My LED settings are set to have it light up green when the phone is plugged in and has reached a full charge. Two nights ago, I left the S3 turned off and plugged in overnight and when I woke up it showed the green light. When I unplugged the phone and turned it on, it was only at 9% and I had to use a portable charger to get it through the day. Last night it happened again except it was at 42% when I turned it on. I did a hard reset on my phone yesterday and today I downloaded DU Battery Saver today, but I don't think it will work. Is it a problem with my battery?

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