% Change with Percentages

[Yandeez]

In comparing percentages, is it fair to take the difference or should a (new-old)/old calculation be utilized? Say, for example, I have a change from 15% to 20% and a change from 45% to 50%. While they both represent a 5% absolute change, the % change from 15% to 20% is 33% while the % change from 45% to 50% is only 11%. Which makes more sense logically?

 

[Smallman]

Ah

You have touched on an age old question.

"There are lies, damn lies and statistics"

goes the famous quote popularized by Mark Twain.

If I have $10 and someone gives me $5, have I increased my stake by 50% or by 33%? Certainly I now have 33% more money than I did before but I have 50% more than what I started with.

Basically it is up to your good judgment...

Take care

Smallman