In general, if you press Cmd- Shift- Ewhen in a cell, it will show you the basic low-level syntax that makes up the nice formatting you see. In my case for x_a foo bar, where x_ais typed as an index, it shows:
Cell[TextData[{
Cell[BoxData[
FormBox[
SubscriptBox["x", "a"], TraditionalForm]]],
" foo bar "
}], "Text",
CellChangeTimes->{{3.528581300759695*^9, 3.5285813422683*^9}, {
3.528581510346758*^9, 3.5285815118015013`*^9}}]
Now, to access the necessary information, open the stylesheet Core.nband see Styles for Mathematica System-specific Elements > FormatType Styles > InlineCellEditing. Use the above key combination to see the base code that shows:
Cell[StyleData["InlineCellEditing"],
StyleMenuListing->None,
Background->RGBColor[0.964706, 0.929412, 0.839216]]
This is the background color that is used. To confirm:
Graphics[{RGBColor[0.964706, 0.929412, 0.839216], Disk[]}]

Oops! To change, you just need to create your own stylesheet with the changed definition and use it as the default for a laptop.
Example:
, Format > Edit Stylesheet , Private style definitions for <filename.nb>, enter, , ( RGB , ), , CellExpression. , :
Cell[StyleData["InlineCellEditing"],
StyleMenuListing->None,
Background->RGBColor[0.3, 0.9, 0.8]]
- :

, .