The results of a Proctor test should give you the range. As dik said, the Proctor test will give you the optimum moisture content to achieve the maximum dry density. If your specification requires, for example, that the granular fill is to be compacted in such a manner as to achieve 95% of the maximum dry density then you should be able to look at the Proctor test curve for your project and determine the moisture content range, to the left and right of optimum, that is required to achieve the 95% compaction.
Alternatively, I have also seen some project specifications state that the moisture content of fill material is to be +- 2% of optimum at placement.