Usually they don't want any 11%, they want a specific 11% (or whatever) because they are cutting specific programs.
For example, when I was part of a layoff in 2001, the company mostly let go of engineers and IT (and kept all the sales and marketing), but it wasn't just any engineers, it was the engineers working on a specific product that was being cut.
Also, for IT, my boss came to the three of us and said, "I have to cut one of you, but you're all equally good, so you guys can decide amongst yourself if you want". So at least down at the lower level they did as you suggest.
For example, when I was part of a layoff in 2001, the company mostly let go of engineers and IT (and kept all the sales and marketing), but it wasn't just any engineers, it was the engineers working on a specific product that was being cut.
Also, for IT, my boss came to the three of us and said, "I have to cut one of you, but you're all equally good, so you guys can decide amongst yourself if you want". So at least down at the lower level they did as you suggest.