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I have a few ranges which I want to scale but I'm missing the formula (and common sense).

For example I have a scale range from 40 to 100, but I want my data to range from 0 - 100. What formula do I have to apply to my numbers? Another range I have to scale is from 8 to 35.

Thanks in advance, I really should know this stuff.

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    To rescale linearly, you are looking for the equation of a line that pairs the lower limits and pairs the upper limits, so in your first example it should go through the points $(40,0)$ and $(100,100)$, and in the second example it should go through the points $(8,0)$ and $(35,100)$. Zev's answer already gives formulas and explanations for these linear functions, but I'm mentioning this in case you have learned about linear equations from a different perspective; any method you know of finding the line connecting 2 points will work.2011-06-06

2 Answers 2