I recently purchased a Dell UP2716D monitor. What would be the best way to color correct it? I have an Colormunki Display but am having some issues. When I edit photos and view them on my iphone, they are different shades. It looks more vibrant and warm on my iphone. Is this correct?

I selected AdobeRGB via the OSD display. Should I have selected something else?

I am running OSX 10.11 w./ an Amd video card (10bit color).