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1 year, 7 months ago

How do you calculate a percentage change from a negative figure to positive one?

For example,
2008: -150
2009: 200

The problem is, the way most people count it, you'd get a smaller percentage change if you increased '-150' to '-200' for example.
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mielu_istetz | 1 year, 7 months ago
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"you'd get a smaller percentage change if you increased '-150' to '-200"
that is actually a decrease because -200 is smaller than -150

What I think it is is the second number minus the first number divided by the absolute value of the first number (so it becomes from negative to positive)
The Wikipedia http://en.wikipedia.org/wiki/Percentage_change
article suggests that

So for
2008: -150
2009: 200
it's (200-(-150))/150=350/150=7/3 around 233 % increase

for the second case
(-200-(-150))/150=-50/150 around -33 % decrease

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mielu_istetz | 1 year, 7 months ago Report

"Which is wrong since the percentage of increase should be higher (400 increase compared to 350 for the first scenario) "
Why do you say it's wrong? The change is bigger in the second scenario indeed, but the *percentage* increase is smaller. That's why is called percentage because you divide by a value.
For example the change from 100 to 120 is higher than from 10 to 20, but the percentage change from 10 to 20 is higher than from 100 to 120

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usws | 1 year, 7 months ago Report

Sorry, I meant changing 2008 to -200 instead of -150. Using the first equation:

(200-(-200))/200=400/200=200%

Which is wrong since the percentage of increase should be higher (400 increase compared to 350 for the first scenario)

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