Normalizing a value from a range into another target range

To scale $x$ into target range $[a,b]$

$$x_{normalized}=(b-a)\frac{x-min(x)}{max(x)-min(x)}+a$$

Example, Scaling $[0,60]$ minute to $[0,1]$ range such that 30 minute will be expressed as 0.5 normalized value.

$$\begin{array}{r}{x}_{normalized}=(1-0)\frac{x-0}{60-0}+0\\ \\ \text{substiute arbitary value into x such as 30,}\\ \\ 0.5=(1-0)\frac{30-0}{60-0}+0\end{array}$$

Reference pulled from internet §