It's hard to say, depends on what mod's you already have done to the engine. One thing is for sure, to get more power you must get more fuel into the engine. Removing the lid will change the ratio of fuel to air and this fuel also helps cool the engine, so unless you want to cook the piston, you will need to increase the amount of fuel to keep this ratio the same.
The tricky part is the jetting and getting it correct. Most of the change you will do is increase the main jet size. Pilot jet = idle to 1/8 throttle. Needle clip position = 1/8 throttle to 3/4 throttle. Main jet = 3/4 throttle to wide open.
With all my mod's I increased my pilot from a 42.5 to a 45 and my main jet from a 145 to a 155 and that was with the air box lid off. I left my needle clip in the same position as stock. Trouble is each quad engine is different even if its the same engine with the same mod's.
Most people install a new spark plug, run the quad for a few miles and then read the color. Black insulator on plug is too rich (too much fuel) and a white plug with little black specks on the insulator is too lean ( not enough fuel and running hot).
Good luck![img]i/expressions/face-icon-small-wink.gif[/img]
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