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x=y/(1+(p/100))
If a number (x) is decreased by a percentage (p) to receive a number (y), the formula to find xis:
x=y/(1-(p/100))
Examples:A Decrease in Percentage:Let's say that a you purchased a shirt for $13.50 and you know it was on sale for 10% off that week. You want to know what the regular price is before returning to the store.Using the formula above, the problem looks like this:
x=13.50/(1-(10/100)
We start in the inner most parenthesis where and find that 10/100=0.1:
x=13.50/(1-0.1)
1-0.1 is 0.9:
x=13.50/0.9
And finally 13.50/0.9=15:
x=15
Now we know that the original price of the shirt was $15.00!
Let's try reversing an increase in percentage now.
An Increase in Percentage:You borrowed some money from a friend and he says you now owe him $26.25 after 5% interest. You have decided that on top of not playing Xbox with you this weekend, he is only going to get the amount you borrowed... If only you could remember how much that was.Using the formula above, the problem looks like this:
x=26.25/(1+(5/100)
We start in the inner most parenthesis where and find that 5/100=0.05:
x=26.25/(1+0.05)
1-0.05 is 0.95:
x=26.25/1.05And finally 26.25/1.05=25:
x=25
You pay him the $25.00 you owe him and remove him from your friends list.
Why Does This Work?Assuming that you know a number ( x) has been raised to some percentage (p) and resulted in a new value (y), the first thing you'll need to do is convert the percentage to the corresponding ratio/proportion (r) with the below formula:r=p/100
This means for 10% r=.1 and for 33% r=.33. This allows us to look at what was actually done to the number xto get the result y:
y=x+xr
We can factor the shared x out of the right side as below:
y=x(1+r)
If we then divide both sides by (1+r) the result is:
y/(1+r)=x
The only difference between an increase in a percentage and a decrease in percentage is the sign of r as shown below:
y=x-xr
We can factor the shared x out of the right side as before:
y=x(1-r)
If we then divide both sides by (1-r) the result is:
y/(1-r)=x
Add your answer:
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Find the increase or decrease to the nearest percent from 2.75 to 4.50?
The increase from 2.75 to 4.50 is: 63.64%
Find the percent of change and state whether it was a percent of increase (I) or percent of decrease (D).from 289 to 762?
The answer is 164% I.
How you find the percent of increase and decrease?
first calculate the value of increase e.g. if 100 increases to 110 then the increase is 10. Then you calculate the percentage increase by diving the increase by the original number then multiply by 100 i.e. (10 divided 100 = 0.1, multiplied by 100 = 10%) or (10/100)*100 same for % decrease but in reverse.
How do you find the percent difference?
Subtract the two numbers and divide by the oldest or beginning number and move the decimal to change to a percent. If it goes down it is decrease and up for increase.
How do you find the percent increase in numbers?
To increase a number by a certain percent, multiply it by (1 + n/100). For example, to increase a number by 15 percent, multiply it by (1 + 15/100), or 1.15. To decrease a number by 15 percent, multiply it by (1 - 15/100), or 0.85.Read more: http://wiki.answers.com/How_do_you_increase_a_number_by_a_percent#ixzz17Zw2XWuo
Find the increase or decrease to the nearest percent from 2.75 to 4.50?
The increase from 2.75 to 4.50 is: 63.64%
Identify the percent of change as an increase or a decrease. 120 meals to 52 meals Increase Decrease Question 2 Find the percent of change. Round to the nearest tenth of a percent if necessary.?
Identify the percent of change as an increase or a decrease.120 meals to 52 meals
Find the percent of change and state whether it was a percent of increase (I) or percent of decrease (D).from 289 to 762?
The answer is 164% I.
How you find the percent of increase and decrease?
first calculate the value of increase e.g. if 100 increases to 110 then the increase is 10. Then you calculate the percentage increase by diving the increase by the original number then multiply by 100 i.e. (10 divided 100 = 0.1, multiplied by 100 = 10%) or (10/100)*100 same for % decrease but in reverse.
Find the percent of increase or decrease of 86 to 120 and then round your answer to the nearest tenth?
This is a 39.5349% increase which rounds to 39.5%
How do you find percent of change as a decrease?
Whether the change is an increase or decrease . . . -- Divide the new number by the original number. -- Multiply the result by 100. -- Subtract 100. -- Now you have the percent of change.
How do I find percent increase and decrease?
Percent Increase= (New Amount - Original Amount)/Original AmountExample:New amount: 200Original amount:5(200 - 5)/5(195)/5 = 39% increasePercent Decrease = ? Someone edit this part ;)
How do you find the percent of an increase or decrease?
% change is the % of increase or % of decrease. % change = (difference of the two values / the original value) x 100% =[(original value - new value)/original value] x 100% % increase -if the value increased % decrease -if the value decreased
How do find percent increase and decrease?
How to find percentage? What if you need to calculate percentage increase, but not only by how much a number increased, but also the change in percentage increase between two numbers? The below online calculator will calculate percent increase, and it will also calculate percent decrease, and percent difference calculation as well --> the example will explain how it works.Math Example: How to calculate percentage increase, Decrease or Difference How to calculate percent increase between two numbers? To calculate percent difference, you need to follow these steps:1. Problem: You need to calculate percent % increase from 2 to 102. First Step: find the difference between two numbers, in this case, it's 10 - 2 = 83. Second: Take the difference, 8, and divide by the original number: 8/2 = 44. Lastly, multiply the number above by 100: 4*100 = 400%You're done! You calculated difference of a number in percent, and the answer is a percentage increase of 400%.
What is the percent increase from 14.09 to 14.80?
((14.80-14.09)/14.09)*100= 5.04% to find increase or decrease, find the difference of the change and divide it by the original value, then multiply by 100 to turn it into a percentage.
How do you find the percent difference?
Subtract the two numbers and divide by the oldest or beginning number and move the decimal to change to a percent. If it goes down it is decrease and up for increase.
Find the percent of decrease 140 to 84?
40% decrease
