I've got about 30 #'s that fall between 55 & 116. I need to recalc them so that 116=100 & 55=1. how do I do it

Answer 1

Okay, first you look at the range:
It's 55 - 116 = 61 range
You want 1 - 100 = 99 range
So you need to multiply every number by 99/61 = 1.65
After you do that, you change the numbers from 55 - 116 to
92.4 - 191.4
Then you subtract 91.4 from each number and get:
1-100

So if X is the number you have, do:
1.65*x - 91.4

Answer 2

You are trying to normalize your values from 1 to 100. What you need to do is first convert so that the smallest is 0 by subtracting 55 for each one (55 becomes 0 and 116 becomes 61)

You now have numbers from 0 to 61. You need to now scale these numbers so that they range from 0 to 99. Multiply each number by 99/61 = 1.622951

Each number should now be in the range 0 to 99. Simply add 1 to each number to get from 1 to 100

(X-55)*(99/61)+1 = Y

55 becomes 1
116 becomes 100
110 becomes 89.2623

Answer 3

The best way to look at this is that you want a linear equation

y = ax+b such that

y=1 at x=55
and
y=100 at x=116

That is, find the line through points (55,1) and (116,100)
It helps to draw a little sketch.

1=55a+b
100 = 116a+b

you can solve these equations for a and b.

Answer 4

You said about 30 numbers. If you want to be exactly 100 at the end, you need to be a little less per unit. (1.613)

For example 1.613 per unit would yield 100.006 @ 116.

55= 1.613
56= 3.223
57= 4.839
58= 6.452
etc.....
116= 100.006

Answer 5

Each number has to equal 3.333333333333333333333 for it to work out
3.33
6.66
9.99
etc