# Increased by X percent?

**URL:** https://boards.straightdope.com/t/increased-by-x-percent/286913
**Category:** Factual Questions
**Created:** [January 27, 2005, 2:06pm UTC](https://boards.straightdope.com/t/increased-by-x-percent/286913 "2005-01-27T14:06:18Z")
**Posts on this page:** 8
**Page:** 1

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### Author: ![Nutty\_Bunny](https://avatars.discourse-cdn.com/v4/letter/n/d07c76/32.png) [@Nutty\_Bunny](https://boards.straightdope.com/u/Nutty_Bunny)
#### Post date: [January 27, 2005, 2:06pm UTC](https://boards.straightdope.com/t/increased-by-x-percent/286913/1 "2005-01-27T14:06:18Z")

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I am doing an analysis of old prices vs. new. If an old price is $1.36 and the new price is $1.97, then there’s an increase of 44.85%, right?

The factory said it’s not 44.85%, but 20%. Perhaps they have a different original price than I do or I’m going crazy.

So, am I going crazy?

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### Author: ![Colophon](https://avatars.discourse-cdn.com/v4/letter/c/f05b48/32.png) [@Colophon](https://boards.straightdope.com/u/Colophon)
#### Post date: [January 27, 2005, 2:16pm UTC](https://boards.straightdope.com/t/increased-by-x-percent/286913/2 "2005-01-27T14:16:50Z")

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> [@Nutty Bunny](#):
>
> I am doing an analysis of old prices vs. new. If an old price is $1.36 and the new price is $1.97, then there’s an increase of 44.85%, right?
> 
> The factory said it’s not 44.85%, but 20%. Perhaps they have a different original price than I do or I’m going crazy.
> 
> So, am I going crazy?

No, you’re right.

% increase = (change/original price) x 100

So the increase is 61c, and the percentage increase is 61/136 x 100 = 44.85%, as you said.

I have no idea where the factory is coming from - even if they did the calcualtion wrong and divided by the new price, it would still only be 30.96% (i.e., The old price is 30.96% lower than the new price).

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### Author: ![Mangetout](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mangetout/32/19_2.png) [@Mangetout](https://boards.straightdope.com/u/Mangetout)
#### Post date: [January 27, 2005, 2:17pm UTC](https://boards.straightdope.com/t/increased-by-x-percent/286913/3 "2005-01-27T14:17:18Z")

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100 plus 10% is 110, however, 110 less 10% is 99 - I suspect it’s something to do with this.

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### Author: ![Colophon](https://avatars.discourse-cdn.com/v4/letter/c/f05b48/32.png) [@Colophon](https://boards.straightdope.com/u/Colophon)
#### Post date: [January 27, 2005, 2:31pm UTC](https://boards.straightdope.com/t/increased-by-x-percent/286913/4 "2005-01-27T14:31:29Z")

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> [@Mangetout](#):
>
> 100 plus 10% is 110, however, 110 less 10% is 99 - I suspect it’s something to do with this.

It doesn’t seem to be - as I said, even using the calculation for a reduction you still come out with over 30%.

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### Author: ![zut](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/zut/32/2875_2.png) [@zut](https://boards.straightdope.com/u/zut)
#### Post date: [January 27, 2005, 2:50pm UTC](https://boards.straightdope.com/t/increased-by-x-percent/286913/5 "2005-01-27T14:50:09Z")

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> [@Nutty Bunny](#):
>
> I am doing an analysis of old prices vs. new. If an old price is $1.36 and the new price is $1.97, then there’s an increase of 44.85%, right?
> 
> The factory said it’s not 44.85%, but 20%. Perhaps they have a different original price than I do or I’m going crazy.

Is it possible that one of you transposed digits on the original price? If the original was **$1.63** , then the increase is 24 cents, or 20.8% of the original price.

Or else whoever you’re talking to at the factory is an idiot. Either way.

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### Author: ![pulykamell](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/pulykamell/32/3166_2.png) [@pulykamell](https://boards.straightdope.com/u/pulykamell)
#### Post date: [January 27, 2005, 2:51pm UTC](https://boards.straightdope.com/t/increased-by-x-percent/286913/6 "2005-01-27T14:51:44Z")

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This is a pet peeve of mine. Nobody seems to get percentages right. The problem is so pervasive that I never trust %age figures until I do the calculation myself.

Anyhow, I have no idea whence the 20% figure came. They must be using some really new math to come up with that one.

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### Author: ![aahala](https://avatars.discourse-cdn.com/v4/letter/a/a88e4f/32.png) [@aahala](https://boards.straightdope.com/u/aahala)
#### Post date: [January 27, 2005, 2:52pm UTC](https://boards.straightdope.com/t/increased-by-x-percent/286913/7 "2005-01-27T14:52:43Z")

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At least the company appears to accept the word “increase”.

My cable company has not had an “increase” in twenty years. But they have had many, many price “adjustments” – all upward by the way.

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### Author: ![Nutty\_Bunny](https://avatars.discourse-cdn.com/v4/letter/n/d07c76/32.png) [@Nutty\_Bunny](https://boards.straightdope.com/u/Nutty_Bunny)
#### Post date: [January 27, 2005, 2:53pm UTC](https://boards.straightdope.com/t/increased-by-x-percent/286913/8 "2005-01-27T14:53:56Z")

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Whew. I just checked and there’s no transposition of the numbers, according to the spreadsheet they sent me. You had me scared for a minute there.

So I guess that it’s Kathy at the factory who’s the idiot. Thank Jebus!

Thanks everyone.
