Transfer value from a component to the main artboard

Hi guys, I have a number of menues in the form of components that pop up to make a selection. My issue is that when selecting an option the component changes into a state (as intended) but then there is no way (that I can see) to transfer that selected value back to the main artboard.  For instance, the pop up menu has a component that shows the days of the week, if I select Monday that lights up Monday (Monday is the state) but then when I close back I can't get that Monday value back onto the main artboard. 

Please help!