Getting a greyscale value from the Eyedropper?
Today, someone asked me how to pick up a gray value with the Eyedropper, and get a grayscale (K-only) color value in an otherwise CMYK document.
As we all know, the eyedropper tool gives RGB colorspace back, at least for raster images. So, fine, I get a gray rectangle with RGB:

Now, how can I convert this to grey? I can't really find a reasonable way. Converting to CMYK gives me 35/28/28/0, which is useles.
Converting to L*ab gives me 69/0/0, which seemed promising, but also is kind of a dead end:

In Illustrator, I have the choice for greyscale:


So, short of ducking over to Illustrator, is there a reasonable way to get the equivalent gray value out of InDesign?
I suppose one could write a script that uses math...but color math is hard, and it is easy to screw it up.
Of course, there is some amusing color science irony that if one tries to go the other way, say, from 39.0% K to RGB, one gets 169/171/174 . I suppose it relates to color profiles and whatnot (as does why Illustrator and InDesign may not end up with the same numbers).
Anyhow, any tips or convenient workarounds?
Sure would be nice if ID had "Grayscale" as an option like Illustrator...
