Computer Execution Time Problem

AI Thread Summary
The discussion revolves around calculating CPU time and understanding percentage reductions in execution time. The user calculated the integer time as 100, breaking it down to 75 plus an unknown X, which they found to be 25. They then calculated the percentage reduction as 12.5%, but highlighted the importance of clarifying the base for percentage calculations. A comparison was made to sales tax, emphasizing that the percentage can vary based on what total is considered. The conversation underscores the need for precision in defining the context of percentage calculations.
kosmocomet
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Homework Statement


upload_2019-2-23_11-20-42.png


Homework Equations


  • CPU Time= Σ(individual IC time)

The Attempt at a Solution


What I did was first find the integer time, which is 100=75+X, and X is 25. To find the percent reduced,
I did 100(1-x)=75+25(1-0.5). This means x is 0.125 or 12.5 %.

Is this correct?
 

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Yes
 
I agree with @phinds. But beware the trap, percentage of what?

It is like the sales tax problem. An item sells for $1. The tax is $0.10. so the total is $1.10. Is the tax 10/100=10% or 10/110=9.08%. Different states and different countries require one of those definitions by law and forbid the other definition.
 

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