Solving Percentages: Remove 9% and Keep Total at 100%

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SUMMARY

The discussion centers on the mathematical problem of redistributing percentages after removing a specific value, in this case, 9%. The original percentages are 24.57%, 44.59%, 3.64%, and 18.20%, which sum to 100%. To maintain the total at 100% after removing 9%, the solution involves converting the percentages to decimal fractions and dividing each by 0.91. This method ensures that the remaining percentages are proportionally adjusted to sum to 100% without equal distribution of the removed percentage.

PREREQUISITES
  • Understanding of basic percentage calculations
  • Familiarity with decimal fractions
  • Knowledge of proportional distribution methods
  • Basic algebraic manipulation skills
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  • Learn about converting percentages to decimal fractions
  • Study proportional distribution techniques in mathematics
  • Explore algebraic methods for solving percentage problems
  • Investigate applications of percentage adjustments in data analysis
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This discussion is beneficial for students, educators, and professionals in fields requiring mathematical problem-solving, particularly those dealing with data analysis, finance, or any scenario involving percentage adjustments.

brandozz
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Hi all,

I'm a complete math idiot and was wondering if somebody could help me out with an equation that I'm trying to solve.

Lets say I have the following percentages that equal 100%

24.57%
44.59%
3.64%
18.20%
9%

Now let's say I want to remove the 9% but I want the remaining 4 numbers to still equal 100%. How would I distribute the 9% difference? I should also add, I don't want to divide the 9% by 4 and then equal distribute that among the numbers I want them to absorb according to their current percentage. If that makes any sense at all.

Thanks
-Brandon
 
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brandozz said:
Hi all,

I'm a complete math idiot and was wondering if somebody could help me out with an equation that I'm trying to solve.

Lets say I have the following percentages that equal 100%

24.57%
44.59%
3.64%
18.20%
9%

Now let's say I want to remove the 9% but I want the remaining 4 numbers to still equal 100%. How would I distribute the 9% difference? I should also add, I don't want to divide the 9% by 4 and then equal distribute that among the numbers I want them to absorb according to their current percentage. If that makes any sense at all.

Thanks
-Brandon

First off, it's probably simpler to convert all of your numbers to decimal fractions, and get rid of the %. This makes your first four numbers
.2457
.4459
.0364
.1820

Now divide each of these numbers by .91, which will give you a new set of numbers that will add to 1.0. All of the numbers will be proportionally larger than what you started with.
 
Thanks

Thanks for you help on this!
 

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