$100 is 60% of the value you are looking for, hence

x = $100 / 60 * 100 = 500/3 = 166,666666...

check: 40% of 166,666 = 66,66666...

so, you have to add 2/3 to $100%, which is 66,666666%

Solved

Posted on 2006-05-04

Hello All:

I have a problem I need to figure out for my job.

Say I have an amount ($100.00). I need to know what amount I need to add to it so that whenI take 40% from the new total, I get $100.00.

This would need to work no matter what % I use, so I guess I'm looking for a formula in the way of

x + y = (x + y)/ 40%

I think I need to know what y would be.

Thanks for any help I can get with this.

jocasio

I have a problem I need to figure out for my job.

Say I have an amount ($100.00). I need to know what amount I need to add to it so that whenI take 40% from the new total, I get $100.00.

This would need to work no matter what % I use, so I guess I'm looking for a formula in the way of

x + y = (x + y)/ 40%

I think I need to know what y would be.

Thanks for any help I can get with this.

jocasio

13 Comments

$100 is 60% of the value you are looking for, hence

x = $100 / 60 * 100 = 500/3 = 166,666666...

check: 40% of 166,666 = 66,66666...

so, you have to add 2/3 to $100%, which is 66,666666%

This sounds more like homework for school.

(100 + x)*(1 - 40/100) = 100

x = 100/(1-40/100) - 100

I wish I was still young enough to be in school :) Actually, I work in an office that gets commissions off of monies we collect. It was 40% which was nice and easy; we collect money and then we take 40% off for commission. One of our new clients did not like this arrangement so they wanted us to add a fee to their collectible amount. Because our commission is 40%, we needed to figure our how much to charge so that when 40% comes off the top, our client gets 100% of their collectible. So that's the story in a nut shell..

angellIII:

So this will work with any other values, say our % is 33.33, I would do the following:

100/66.67*100 ?

ozo: would I substitute 33.33 for the 40 in your equation?

Thanks,

jocasio

prev value = 100

added value = y

total (100 + y)

40% of (100 + y) = 100

40(100 + y)/100 = 100

2(100 + y)/5 = 100

200 + 2y = 500

2y = 500 - 200

2y= 300

y = 150

OR

I have interpreted wrong...

>>whenI take 40% from the new total,

>>I get $100.00.

i interpret that 40% of new value is 100...

Do you get the 40%, or do you get what is left after the 40% is taken?

New Added Value = Y

Total become (X + Y)

P% of new value is Z

then formula will be

P*(X + Y)/100 = Z;

Here

X = 100

Z = 100

P = 40

40*(100 + Y)/100 = 100;

==> Y = 150

Not take out our left out....so does not seems abiguity but seems mis intrepretation which is almost impossible from ozo.....

I had to do something similar once to work out pre-taxed amounts when given only the full billed amounts. Summing all these valuse and adding tax at the correct percentage rarely came to exactly the same result. Not you can do about it apart from deciding in whose favour the error will be made.

X = 100

y - 40% * Y = 100

.6 Y = 100 ===> Y = 166.66

In order for your company to get their expected 40% commision, and the customer to get his expected $100 , you should charge $166.66

in general, if your percentage is P then the formalau would read

Y = X/(1-P) so if P = .33 (33%) Y = X/(.67) ===> Y = 1.5 * X

AW

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