Question 620228: what pecentige is 270 of 320
Answer by math-vortex(648)   (Show Source):
You can put this solution on YOUR website! Hi, there--
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There are several ways to solve this problem. It works best if you find the way that makes sense to you.
Method I:
Percent means out of 100. We can make a proportion--an equation comparing two fractions (ratios)--and solve for the missing value, x.
The first ratio is 270 out of 320, or 270/320.
The second ratio is x out of 100, or x/100. The variable x is our percent.
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We have the proportion,
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Since these two ratios are equivalent, they differ by some scale factor. The scale factor from 320 to 100 is 0.3125 because 320*0.3125=100. We must use the same scale factor in the numerator.
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This means that the 270 out of 320 is equivalent to 84.375 out of 100. Since percent means "out of 100," our answer is 84.375%.
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Method II
Recognize that 270 out of 320 can be written as a fraction:
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To represent a fraction as a decimal, you divide the denominator into the numerator:
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To represent a decimal number as a percent, move the decimal point two places to the right. In other words, multiply by 100.
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This is our percent. So 270 out of 320 is 84.375%.
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I hope this helps. Feel free to email if you have questions. Translating between different representations can be confusing, but once you get it, it's pretty straight forward.
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Ms.Figgy
math.in.the.vortex@gmail.com
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