Different shades of black in Photoshop and InDesign

I'm currently putting together a CD cover, and haven't been working that much with printing, so CMYK tends to confuse me a bit.

I'm going to place a logo inside a frame in InDesign. I added the exact same background color to the logo in Photoshop, as the background color of my InDesign document. Still the background in InDesign is slightly darker when I export the PDF as I look at it on screen (if I look at it from different angles).

Any ideas? I use the following black for both: C: 75% M: 68% Y: 67% K: 90%

You can also see that when I'm watching two version of my PDF (with transparent PSD placed in InDesign), it gets a white line around the cut area if I zoom it in or out. If I look at it in 'actual size', it looks normal.

Answer

Instead of going to the trouble of adding a rich black to the logo, make it transparent where it should be black and save in a transparency-supporting file format eg. PSD.

Instead of relying in the InDesign preview, output to PDF and open the Output Preview window (Tools > Print Production > ...). There you will be able to eye dropper the exact CMYK value of any point in your art. It's the definitive way to know what you're outputting.