How to compute ratio of decreasing value

Question

I have a value that at 40 -> 80%, I want to reduce 80% to 50% and compute x such that x -> 50% would simple ration do this? Note percentage here is CPU usage and I want to increase resource from 40 to some value so that CPU usage can come down from 80% to 50%. Is my reasoning correct here?

    40  -> 80%
X + 40  -> 50%

I want to increase 40 to some value so that percentage is reduced to 50%.I did simple ratio which gives me 25, would adding 25 to 40 the right approach here?

Answer 1

Assuming that the flow of data to be processed is constant, we have that

• $\#40$ corresponds to an utilization rate of $\to 80 \%$

which means that

• $\#32$ corresponds to an utilization rate of $\to 100 \%$

and more in general

• $\#N$ corresponds to an utilization rate of $\to P \%$ such that $N\cdot P=3200$

then we are looking for an utilization rate of $\to 50 \%$ that is

$$N\cdot 50=3200 \implies N=64$$

therefore we need to increase of $x=24$.