TITLE: Misunderstanding of percentage increase
QUESTION [30 upvotes]: If something increase $50$ to $200$, I know that it is $400\%$ increment using common sense.
I can get this using $\dfrac{200}{50}\times 100\% =  400\%$.
If something increase $50$ to $52$, I know that it is $4\%$ increment using common sense.
But if I apply the same logic, $\dfrac{52}{50}\times 100\% = 104\%$.
What is the problem in my logic?

REPLY [2 votes]: This is were the ratio makes more sense 
That is when 
50:400 
are divided one both sides by 50 giving us
1:8 
so my understanding is that it is eight times more.