Question 172964
You are starting with  2988 and you want to add some fractional part of 2988 to the original amount to get to 3649.  We will represent that fraction by {{{x}}}


{{{2988 + 2988x = 3649}}}


Add -2988 to both sides:


{{{2988-2988+2988x=3649-2988}}}
{{{2988x=661}}}


Now divide both sides by 2988:


{{{2988x/2988=661/2988}}}
{{{x=.221}}} (rounded off to the 3rd decimal place)


So, {{{0.221}}} is a close enough approximation to the decimal fraction increase from 2988 to 3649.  But we need the percentage increase, so just move the decimal point two places to the right and add a percent sign:


22.1%


In fact, since the original numbers given were whole numbers, I would round the answer further to 22%, because the precision of your answer should never be greater than the least precise of your given quantities.


Hope that helps,
John