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. Good luck on your article. -Doctor Terrel, The Math Forum Check out our web site! http://mathforum.org/dr.math/
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