I honestly never understood the notion of not naming a number first (that is if you know what you're worth). Take the number you want to make, add 15%, and they'll likely negotiate down to the actual number you want. It's really not that hard.

Take this as an example:

Say you currently make $80k and you want a 10% bump. So you're looking for $88k. Take that number and add 15%. Your ask is now around $100k. They may say something like "we actually start all new engineers off at a base salary of $85,000". This gives you a ton of power in negotiating just a $3k bump. If you had said you wanted $88k, that "starting salary" would have likely been $75k. Thus making it a pretty big leap to the $88k you wanted.