also be aware that if you don't make enough money from your cities, increasing the percentage of science spending won't increase your tech advancement. for example if you just have three cities with four people in them, having 100% science won't do anything. but with say, nine cities with two-twelve people, four libraries, and 50% science, you might be researching techs in 30 turns instead of 40 (just an example, not that fast in the real game)