# To Stoidela

**URL:** <https://boards.straightdope.com/t/to-stoidela/7153>\
**Category:** Miscellaneous and Personal Stuff I Must Share\
**Created:** [August 26, 1999, 10:37am UTC](https://boards.straightdope.com/t/to-stoidela/7153 "1999-08-26T10:37:00Z")\
**Posts on this page:** 4\
**Page:** 1

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**Author:** ![EnigmaOne](https://avatars.discourse-cdn.com/v4/letter/e/d2c977/32.png) [@EnigmaOne](https://boards.straightdope.com/u/EnigmaOne)\
**Post date:** [August 26, 1999, 10:37am UTC](https://boards.straightdope.com/t/to-stoidela/7153/1 "1999-08-26T10:37:00Z")

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Stoidela has a math problem and I can’t post in GQ right now–See: “Can’t post in GQ!” by TheIncredibleHolg. I figure MPSIMS is as good a place as any to dump my clipboard into, and I figure Eutychus55 and Nickerz can get this thing back into the “Innumerate needs formula! (Simple - help!)” thread anyway. Sorry to make more work for you two.

> [@](#):
>
> ## Stoidela Member posted 08-25-1999 10:53 PM
> 
> I need the formula to arrive at the following.  
> N is 85% of \_\_\_\_\_ (number)?
> 
> Sample:
> 
> I receive $145 from you. You tell me that this is my percentage, which we both know is 85% of the total number. You receive 15% of the total number.
> 
> What is the total number? What is your 15%? And what is the formula I use to arrive at these numbers? (I need it frequently, and I never remember it. I’m an idiot at math.)
> 
> I would be forever in your debt…

Ok…forever in my debt huh? 😃

Let x = The percentage dollar amount you get.

The percentage is 85%

Let y = The gross amount from which the percentage amount is paid to you.

The following is then true:

x = 85% of y

Stated another way:

x = 0.85 \* y

Same thing, and 0.85 is easier to work with anyway.

If you want to know what y is, do this:

y = x / 0.85

Using your example:

x = $145.00

y is unknown

x is 85% of y

Therefore:

x = 0.85 \* y

Rearranging the formula:

y = x / 0.85

y = $145.00 / 0.85

y = $170.5882353 or $170.59

Now, to check our finger work, we can take 15% of $170.59 and add it to $145.00 (cuz 15% + 85% = 100%):

15% of $170.59 = $170.59 \* 0.15 = $25.5885…call it $25.59

$145.00 is 85% of something, and we hope that something is $170.59

$145.00 + $25.59 = $170.59…works for me.

## Will that be cash, credit card or check? Lessee, I get 15% of forever, and your cut is 85%…Kewel! 😉

– **Kalél**  
(The Original **EnigmaOne** )  
_Common ¢ for all ages._

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**Author:** ![Pooch](https://avatars.discourse-cdn.com/v4/letter/p/dbc845/32.png) [@Pooch](https://boards.straightdope.com/u/Pooch)\
**Post date:** [August 26, 1999, 12:04pm UTC](https://boards.straightdope.com/t/to-stoidela/7153/2 "1999-08-26T12:04:00Z")

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Hoping to have Stoidela in my debt I had written:

> [@](#):
>
> Your percentage of $145 divided by the rate of 85% equals the base of $170  
> and some change. Or 145/.85=170.58
> 
> Actually, I didn’t know and looked it up as I can’t do math either. I was  
> inspired by the thought of having you in my debt. Somebody ought to verify  
> this.  
> This should get us started on the road to giving proper tips:  
> [http://training.questgate.net/courses/mbp/c0101.htm](http://training.questgate.net/courses/mbp/c0101.htm)

I snoozed, I losed. Is the GQ thread fixed yet?

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**Author:** ![ChuckSki](https://avatars.discourse-cdn.com/v4/letter/c/51bf81/32.png) [@ChuckSki](https://boards.straightdope.com/u/ChuckSki)\
**Post date:** [August 26, 1999, 12:29pm UTC](https://boards.straightdope.com/t/to-stoidela/7153/3 "1999-08-26T12:29:00Z")

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I’ve been trying to send this since last midnight.

Think of it this way:

Y x .85 = N therefore  
N / .85 = Y

In your example, if you get 85%, which is $145, and I get 15%,

Take 145 and divide by .85 and you get  
$170.59

I get $25.59.  
Take 25.59 and divide by .15 and you get  
$170.59

Is this what you want? Hope it helps!

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**Author:** ![Stoid](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/stoid/32/272_2.png) [@Stoid](https://boards.straightdope.com/u/Stoid)\
**Post date:** [August 26, 1999, 4:20pm UTC](https://boards.straightdope.com/t/to-stoidela/7153/4 "1999-08-26T16:20:00Z")

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Gosh, I feel like a damsel in distress that has been well and truly rescued!

Thank you all for rushing to my aid…much appreciated!

Stoid
