I started a project in the wrong Color Profile. How do I convert and maintain global colors?

[mikeswarts]

Note: I don’t understand color profiles very well, so the question may be flawed as a result.

I'm working on an app interface for iOS and I believe I should be using the sRGB color profile. However, I accidentally created my file using SMPTE. When I attempt to convert the document to sRGB, the global colors I use in the document become detached from the elements that use them. Unfortunately, I noticed this problem a bit late, so it would be a lot of work to reapply all the global colors to all the relevant objects. I also noticed that the colors appeared less vibrant after the conversion. How do more experienced designers deal with these kinds of issues?

[thomaso]

Make sure you have pressed the "Assign" button before clicking "OK". This preserves the colour values of your layout objects and, accordingly, their links to the global swatches.

[mikeswarts]

Thank you, @thomaso!