SOLUTION: What percent increase is there from 2988 to 3649?

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Question 172964: What percent increase is there from 2988 to 3649?
Found 4 solutions by stanbon, Mathtut, monika_p, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
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What percent increase is there from 2988 to 3649?
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Quantity increase: 3649 - 2988 = 661
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% increase 661/2988 = 0.2212... 22.12%
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Cheers,
Stan H.

Answer by Mathtut(3670) About Me  (Show Source):
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3649-2988=661.....661/2988=.2212 or 22.12% increase

Answer by monika_p(71) About Me  (Show Source):
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if 2988 is 100%
the number was increased by 661 (2988 +661=3649)
To calculate what % of 2988 is 661 write proportion (remember to write number under number and % under % in proportion)
2988-100%
661-x% then the cross product of proportion:
2988x=661*100
x=22.12% answer

Answer by solver91311(24713) About Me  (Show Source):
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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+%2B+2988x+=+3649

Add -2988 to both sides:

2988-2988%2B2988x=3649-2988
2988x=661

Now divide both sides by 2988:

2988x%2F2988=661%2F2988
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