I have a dataset of percentages where the largest percentage is $82.2$ percent. I want to scale the dataset so that this maximum percentage becomes $100$ percent.
So, should I multiply all the percentages in the dataset by $\frac{100}{82.2}$ or should I add $17.8$ to all the percentages?
Would greatly appreciate any input!
Because of your use of the word "scaling", I would say ratios should be preserved. So you should multiply by $\frac{100}{82.2}$.
Adding $17.8$ to every score would be "translating" (or "shifting") rather than "scaling".