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### Percentage of Increase

```
Date: 07/23/97 at 13:45:49
From: Lisa Zone
Subject: Percent increases

I need to figure out the percent increase for an article I am writing.
The figure in 1995 was 50,000 and the estimated figure for 2000 is
325,000.  I need to figure out how much of a percent increase that is.
I know 100,000 would be a 100 percent increase, right?  But then, how
do I go to the 325,000?  I need the figure to add piece.  Can you
help?

Thanks.
```

```
Date: 07/24/97 at 15:40:54
From: Doctor Rob
Subject: Re: Percent increases

The increase is 325,000 - 50,000 = 275,000.  As a fraction of the
original this is 275,000/50,000 = 11/2 = 5.50 . To convert a decimal
to a percentage, multiply by 100.  This gives a percentage increase of
550 percent.

See http://mathforum.org/dr.math/faq/faq.fractions.html    for
more on fractions, decimals, and percentages.

-Doctor Rob,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```

```
Date: 08/03/97 at 13:41:26
From: Doctor Terrel
Subject: Re: Percent increases

Dear Lisa,

You have every right to feel a little confused on a problem like this.
It has been my experience that problems involving percents greater
than 100 are confusing to the majority of people.  But never fear; Dr.
Math is here!

I would attack this problem in two stages: (1) find the "amount" of
increase; then (2) find what percent that the increase is of the base
figure.

(1) The amount is rather easy.  It's 275,000  [325,000  -  50,000].

(2) When I wish to find out what percent one thing is of another
(regardless if it is greater or less than 100 percent), I set
things up this way:

base value  x  n%  =  percentage value

In your problem this comes out as

50,000  x  n%  =  275,000

275,000
n%  =  ---------  =  5.5  =  550%
50,000

You can choose two ways to express your answer now.  One is to say:
there will be a 550% increase by the year 2000.  Or you can say: in
the year 2000 the (new value) - you didn't say what the numbers
represented, so I'm a little confused right here - will be about five
and a half times greater than what it was in 1995.

Many people don't quite grasp those phrases, especially the latter
one. Instead you might wish to say it this way: in 2000 the (new
value) will be 6 and a half times what it was in 1995. The difference
in the wording is subtle, of course, but important.  The number 6 1/2
comes from

325,000
---------  =  6.5  or  6 1/2
50,000

which is NOT a percent increase situation. Either way is acceptable,
however.  Use whichever you feel more comfortable with, and your
writing will be more clear.

-Doctor Terrel,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Fractions

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