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

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In summary, the person is asking for help with a math equation involving percentages. They want to remove 9% from a total of 100% while keeping the remaining four numbers adding up to 100%. They do not want to divide the 9% equally among the four numbers. Instead, they are advised to convert the percentages to decimal fractions and then divide each number by .91 to get a new set of numbers that add up to 100%.
  • #1
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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  • #2
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.
 
  • #3
Thanks

Thanks for you help on this!
 

1. What is the formula for calculating percentages?

The formula for calculating percentages is (part/whole) x 100. This means you divide the part by the whole and then multiply the result by 100 to get the percentage.

2. How do I find the percentage of a number?

To find the percentage of a number, you can use the formula (part/whole) x 100. For example, if you want to find 20% of 50, you would multiply 50 by 20% (or 0.20) to get 10.

3. What is the difference between a percentage and a decimal?

A percentage is a way of expressing a number as a fraction of 100, while a decimal is a way of expressing a number as a fraction of 1. For example, 50% is the same as 0.50 in decimal form.

4. How do I convert a percentage to a decimal?

To convert a percentage to a decimal, simply move the decimal point two places to the left. For example, 50% would become 0.50.

5. How do I calculate the original amount from a percentage?

To calculate the original amount from a percentage, you can use the formula (part/percentage) x 100. For example, if you know that 25% of a number is 50, you would divide 50 by 25% (or 0.25) to get the original number of 200.

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