Transform the number from one numeric range to another

This formula helps to convert the number to different numeric range

Let the following denote:

• S: input score

• Smin: min score

• Smax: max score

• Gmin: min gpa

• Gmax: max gpa

• G: output gpa

Then your formula is:

G=(S−Smin)⋅(Gmax−Gmin)Smax−Smin+Gmin

For example:

s = 1236; smin = 10; smax = 2000; gmax = 400; gmin = 1; g = (s - smin)*(gmax-gmin)/(smax-smin) + gmin = 246;

So, the number 1236 was converted from [10...2000] range to [1...400] range and now equals 246.