Using WiFi or cell data to search the web will use up battery fairly rapidly as you are contantly using the screen and the radio chipset. Depending on your screen settings it can use it even more rapidly.
Let is sit for 2 hours in standby and see how much battery it uses.
I'm having this same issue. Mine is losing 1% every two to three minutes when I'm not using it. It was at 90% when I went to sleep last night and was completely dead when I woke up this morning. I tried resetting it and turning everything off and nothing seems to help.