This sounds as if an app keeps running in the background although you don't use it or allowed it to use it in the background.
Did you already check Battery usage to see which app you didn't use much (or not at all) causes a major use in battery? See also this article and this one on iMore.
I've had similar issues (with same usage and standby time) after i switched from iOS6 > iOS7. The problem was a Dutch app called Scoupy that caused the drain because it kept running in the background (iBeacon/GPS). I deleted the app and it resolved the battery drain. The app released an update (months later) which resolved the drain finally. It was however very hard in the previous versions to find out the app which caused the drain. In iOS8 that is much easier now.
I've seen others who had background process off for e.g. Google Hangout and Skype but still had major battery usage since iOS8.
Please look also into the apps who are allowed to use 'Background refresh', 'Location services' and 'Push Notifications' and decide which apps you really want to be using which feature this saves battery and you can find out which one (or more) are causing the drain.
You can now in iOS8 even specify per app if you want it to be using GPS not just yes or no, but "Always", "When Using", and "Never".