How do you work out a percentage increase or decrease?

Question

I need the correct formula

for example 14.1 and 15.8

what is the percentage increase of this giving me the correct fomula in to work this out

Answer 1

rate of change : [100% * (final / initial)] - 100%
(note: if change is + : increase; if change is - : decrease)
[100% * (15.8/14.1)] - 100%
= (100% * 1.12) - 100%
= 112% - 100%
= 12% increase

Answer 2

Pretend that the first number (x) is 100%. So the second number (y) is (y*100)/x %
the percentage increase or decrease equals 100 minus the percentage of y that you just found.
If the answer is positive, then that's the increased percentage.
If the answer is negative, then that's the decreased percentage.

Answer 3

suppose you have two values a and b.

you start with a
you end with b

the increase / decreas is : (a-b)
positive means decrease, negative means increase.

the percentage of increase/decrease is then :

(a-b)/a * 100 %

.
in yoru case this is
(14.1 - 15.8)/14.1 * 100 % = -12.0567 %

since this is negative it is a increase.

Answer 4

First find the difference: 15.8 - 14.1 = 1.7
Then, if you are looking for percent increase, compare to 14.1: 1.7/14.1 = 0.12 or 12% increase.

If you are looking for percent decrease, compare to 15.8: 1.7/15.8 = 0.11 or 11% decrease.

(I rounded to 2 decimal places.) Hope this helps!

Answer 5

OK.First of all ,there are two quantities.We term one as "initial quantity " and the second one as the final quantity".If the final quantity is more than the initial quantity,we say that there is an increase and if it is reverse,that is,if the initial quantity is more than the final quantity,we call it "decrease"
If in the problem sent by you 14.1 is the initial quantity and 15.8 is the final quantity,we start solving the problem in the following way
Total increase=15.8-14.1=1.7
[now write a fraction with the increase as numerator and the initial quantity as denominator and multiply it by 100 to get the increase in percentage]
Therefore,increase in percentage
=(1.7/14.1)*100%
=12.06%
But in the above problem if 15.8 was the initial quantity and 14.1 the final one,we would have solved the problem in the following way
Total decrease=15.8-14.1=1.7
Therefore percentage of decrease
=(1.7/15.8)*100%
=10.76%
Hope it helped

Answer 6

Hope this helps!