How much faster is $T_2$ than $T_1$ in percent $%$? [on hold]

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Say a program runs and results in $T_1 = 157s$ then is modified and runs in $T_2 = 16s$.



What is the correct way to display (in %):



  • How much faster is $T_2$ than $T_1$?

  • How much of an increase is the completion time of $T_2$ than $T_1$?

I imagine them to be read as:



  • $T_2$ is __% faster than $T_1$

  • $T_2$ was an increase of __% in completion time

With the latter being something along the lines of "... $4000$% ..." or "... 32x ..." or so.







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put on hold as off-topic by amWhy, John Ma, Xander Henderson, Shailesh, Taroccoesbrocco Aug 4 at 4:14


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, John Ma, Xander Henderson, Shailesh, Taroccoesbrocco
If this question can be reworded to fit the rules in the help center, please edit the question.
















    up vote
    1
    down vote

    favorite












    Say a program runs and results in $T_1 = 157s$ then is modified and runs in $T_2 = 16s$.



    What is the correct way to display (in %):



    • How much faster is $T_2$ than $T_1$?

    • How much of an increase is the completion time of $T_2$ than $T_1$?

    I imagine them to be read as:



    • $T_2$ is __% faster than $T_1$

    • $T_2$ was an increase of __% in completion time

    With the latter being something along the lines of "... $4000$% ..." or "... 32x ..." or so.







    share|cite|improve this question













    put on hold as off-topic by amWhy, John Ma, Xander Henderson, Shailesh, Taroccoesbrocco Aug 4 at 4:14


    This question appears to be off-topic. The users who voted to close gave this specific reason:


    • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, John Ma, Xander Henderson, Shailesh, Taroccoesbrocco
    If this question can be reworded to fit the rules in the help center, please edit the question.














      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      Say a program runs and results in $T_1 = 157s$ then is modified and runs in $T_2 = 16s$.



      What is the correct way to display (in %):



      • How much faster is $T_2$ than $T_1$?

      • How much of an increase is the completion time of $T_2$ than $T_1$?

      I imagine them to be read as:



      • $T_2$ is __% faster than $T_1$

      • $T_2$ was an increase of __% in completion time

      With the latter being something along the lines of "... $4000$% ..." or "... 32x ..." or so.







      share|cite|improve this question













      Say a program runs and results in $T_1 = 157s$ then is modified and runs in $T_2 = 16s$.



      What is the correct way to display (in %):



      • How much faster is $T_2$ than $T_1$?

      • How much of an increase is the completion time of $T_2$ than $T_1$?

      I imagine them to be read as:



      • $T_2$ is __% faster than $T_1$

      • $T_2$ was an increase of __% in completion time

      With the latter being something along the lines of "... $4000$% ..." or "... 32x ..." or so.









      share|cite|improve this question












      share|cite|improve this question




      share|cite|improve this question








      edited Aug 3 at 17:33
























      asked Aug 3 at 17:23









      pstatix

      1396




      1396




      put on hold as off-topic by amWhy, John Ma, Xander Henderson, Shailesh, Taroccoesbrocco Aug 4 at 4:14


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, John Ma, Xander Henderson, Shailesh, Taroccoesbrocco
      If this question can be reworded to fit the rules in the help center, please edit the question.




      put on hold as off-topic by amWhy, John Ma, Xander Henderson, Shailesh, Taroccoesbrocco Aug 4 at 4:14


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, John Ma, Xander Henderson, Shailesh, Taroccoesbrocco
      If this question can be reworded to fit the rules in the help center, please edit the question.




















          1 Answer
          1






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          oldest

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          up vote
          1
          down vote



          accepted










          A way is use, with reference to time, the ratio



          $$p_T=fracT_1-T_2T_1=frac141157approx 0.898=89.8%$$



          or as an alternative with reference to speed



          $$p_S=fracfrac1T_2frac1T_2=fracT_1T_2approx 9.81=981%$$






          share|cite|improve this answer























          • So that says $T_2$ is approximately $89.9%$ faster than $T_1$ since it is relative to $T_1$ right? How would I say "$T_2$ is a __% increase in completion time"?
            – pstatix
            Aug 3 at 17:31










          • @pstatix $p_T$ is a mesure of the time saved by $T_2$ with respect to $T_1$ (we save 90% of the time while $p_S$ is a mesur of how mach $T_2$ is faster ($T_2$ is about 10 times faster than $T_1$).
            – gimusi
            Aug 3 at 17:38

















          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          up vote
          1
          down vote



          accepted










          A way is use, with reference to time, the ratio



          $$p_T=fracT_1-T_2T_1=frac141157approx 0.898=89.8%$$



          or as an alternative with reference to speed



          $$p_S=fracfrac1T_2frac1T_2=fracT_1T_2approx 9.81=981%$$






          share|cite|improve this answer























          • So that says $T_2$ is approximately $89.9%$ faster than $T_1$ since it is relative to $T_1$ right? How would I say "$T_2$ is a __% increase in completion time"?
            – pstatix
            Aug 3 at 17:31










          • @pstatix $p_T$ is a mesure of the time saved by $T_2$ with respect to $T_1$ (we save 90% of the time while $p_S$ is a mesur of how mach $T_2$ is faster ($T_2$ is about 10 times faster than $T_1$).
            – gimusi
            Aug 3 at 17:38














          up vote
          1
          down vote



          accepted










          A way is use, with reference to time, the ratio



          $$p_T=fracT_1-T_2T_1=frac141157approx 0.898=89.8%$$



          or as an alternative with reference to speed



          $$p_S=fracfrac1T_2frac1T_2=fracT_1T_2approx 9.81=981%$$






          share|cite|improve this answer























          • So that says $T_2$ is approximately $89.9%$ faster than $T_1$ since it is relative to $T_1$ right? How would I say "$T_2$ is a __% increase in completion time"?
            – pstatix
            Aug 3 at 17:31










          • @pstatix $p_T$ is a mesure of the time saved by $T_2$ with respect to $T_1$ (we save 90% of the time while $p_S$ is a mesur of how mach $T_2$ is faster ($T_2$ is about 10 times faster than $T_1$).
            – gimusi
            Aug 3 at 17:38












          up vote
          1
          down vote



          accepted







          up vote
          1
          down vote



          accepted






          A way is use, with reference to time, the ratio



          $$p_T=fracT_1-T_2T_1=frac141157approx 0.898=89.8%$$



          or as an alternative with reference to speed



          $$p_S=fracfrac1T_2frac1T_2=fracT_1T_2approx 9.81=981%$$






          share|cite|improve this answer















          A way is use, with reference to time, the ratio



          $$p_T=fracT_1-T_2T_1=frac141157approx 0.898=89.8%$$



          or as an alternative with reference to speed



          $$p_S=fracfrac1T_2frac1T_2=fracT_1T_2approx 9.81=981%$$







          share|cite|improve this answer















          share|cite|improve this answer



          share|cite|improve this answer








          edited Aug 3 at 17:35


























          answered Aug 3 at 17:27









          gimusi

          63.7k73480




          63.7k73480











          • So that says $T_2$ is approximately $89.9%$ faster than $T_1$ since it is relative to $T_1$ right? How would I say "$T_2$ is a __% increase in completion time"?
            – pstatix
            Aug 3 at 17:31










          • @pstatix $p_T$ is a mesure of the time saved by $T_2$ with respect to $T_1$ (we save 90% of the time while $p_S$ is a mesur of how mach $T_2$ is faster ($T_2$ is about 10 times faster than $T_1$).
            – gimusi
            Aug 3 at 17:38
















          • So that says $T_2$ is approximately $89.9%$ faster than $T_1$ since it is relative to $T_1$ right? How would I say "$T_2$ is a __% increase in completion time"?
            – pstatix
            Aug 3 at 17:31










          • @pstatix $p_T$ is a mesure of the time saved by $T_2$ with respect to $T_1$ (we save 90% of the time while $p_S$ is a mesur of how mach $T_2$ is faster ($T_2$ is about 10 times faster than $T_1$).
            – gimusi
            Aug 3 at 17:38















          So that says $T_2$ is approximately $89.9%$ faster than $T_1$ since it is relative to $T_1$ right? How would I say "$T_2$ is a __% increase in completion time"?
          – pstatix
          Aug 3 at 17:31




          So that says $T_2$ is approximately $89.9%$ faster than $T_1$ since it is relative to $T_1$ right? How would I say "$T_2$ is a __% increase in completion time"?
          – pstatix
          Aug 3 at 17:31












          @pstatix $p_T$ is a mesure of the time saved by $T_2$ with respect to $T_1$ (we save 90% of the time while $p_S$ is a mesur of how mach $T_2$ is faster ($T_2$ is about 10 times faster than $T_1$).
          – gimusi
          Aug 3 at 17:38




          @pstatix $p_T$ is a mesure of the time saved by $T_2$ with respect to $T_1$ (we save 90% of the time while $p_S$ is a mesur of how mach $T_2$ is faster ($T_2$ is about 10 times faster than $T_1$).
          – gimusi
          Aug 3 at 17:38


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