Changing background colour of a paper-dropdown-menu

Question

I have a paper-droopdown-menu that displays normally. But I would like to change the backgroud colour as shown in the graphic below

I have tried the following but it did not affect the background.

 * /deep/ paper-dropdown-menu::shadow #menu {
    background-color: #eee;
    border: 1px solid #ccc;
}

Answer 1

  paper-dropdown-menu {
    background-color: red;
  }

or just the input element

  paper-dropdown-menu::shadow #control {
    background-color: red;
  }

If this isn't what you want, can you please add the HTML to your question that produces the layout you have in your screenshot.