Sorry if my question is obvious, but I really need to know the answer. I have proposed a load balancing algorithm for decreasing the value of response time. For example imagine the response time of algorithm1 is $120$ seconds and my proposed algorithm has decreased this value to $25$ seconds. Now I want to compute the percentage of this improvement. How can I do this?
2026-03-26 01:11:45.1774487505
How to compute the percentage of improvement
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Percentage of improvement often does not work like people think, so I don't like the term, but we can calculate it. You were doing $\frac 1{120}$ of the task per second. You are now doing $\frac 1{25}$ of the task per second. The improvement is $\frac 1{25}-\frac 1{120}=\frac {19}{600}$ of the task per second. This is $\frac {19}5$ of the amount you were doing, so the improvement is $380\%$
By contrast, the time required is $\frac {25}{120}=\frac 5{24}$ of the time taken previously, so the time has been reduced by $\frac {19}{24}$ and the time reduction is about $79\%$. Be careful to define what number you are quoting.