# Percentage Change Calculator

## Calculator Use

The Percentage Change Calculator ( % change calculator ) will quantify the change from one number to another and express the change as an increase or decrease .
This is a % change calculator. From 10 apples to 20 apples is a 100 % increase ( change ) in the number of apples .
This calculator will be most normally used when there is an “ old ” and “ new ” number or an “ initial ” and “ final ” respect. A convinced switch is expressed as an addition amount of the percentage value while a negative change is expressed as a decrease total of the absolute measure of the share value.

You will broadly use the percentage change calculation when the regulate of the numbers does matter ; you have starting and ending values or an “ previous number ” and a “ new total. ” When you are precisely comparing 2 numbers you may want to use the percentage difference formula and calculation .
associate calculations can be done with Percentage Calculator and conversions can be solved with Decimal to Percent, Percent to Decimal, Fraction to Percent, or percentage to Fraction .

### Percentage Change Formula

percentage change equals the change in value divided by the absolute prize of the original rate, multiplied by 100 .
\ ( \text { Percentage Change } = \dfrac { \Delta V } { |V_1| } \times 100 \ )
\ ( = \dfrac { ( V_2-V_1 ) } { |V_1| } \times 100 \ )
For example one, how to calculate the share exchange :
What is the share change expressed as an increase or decrease for 3.50 to 2.625 ?
Let V1 = 3.50 and V2 = 2.625 and plug numbers into our percentage deepen formula
\ ( \dfrac { ( V_2-V_1 ) } { |V_1| } \times 100 \ )
\ ( = \dfrac { ( 2.625 – 3.50 ) } { |3.50| } \times 100 \ )
\ ( = \dfrac { -0.875 } { 3.50 } \times 100 \ )
\ ( = -0.25 \times 100 = -25\ % \ ; \text { change } \ )
Saying a -25 % change is equivalent to stating a 25 % decrease .
note that if we let V1 = 2.625 and V2 = 3.50 we would get a 33.3333 % increase. This is because these percentages refer to different amounts : 25 % of 3.50 versus 33.3333 % of 2.625.

As a second example permit ‘s look at a transfer that includes minus numbers, where taking the absolute value of V1 in the denominator makes a dispute .
What is the percentage change expressed as an increase or decrease for -25 to 25 ?
Let V1 = -25 and V2 = 25 and plug numbers into our convention :
\ ( = \dfrac { ( 25 – -25 ) } { |-25| } \times 100 \ )
\ ( = \dfrac { 50 } { 25 } \times 100 \ )
\ ( = 2 \times 100 = 200\ % \ ; \text { deepen } \ )
Saying a 200 % change is equivalent to stating a 200 % increase .
As a third and final example let ‘s expect at another change that includes negative numbers, where taking the absolute respect of V1 in the denominator makes a dispute .
What is the change expressed as an increase or decrease for -25 to -50 ?
Let V1 = -25 and V2 = -50 and chew numbers into our formula :
\ ( = \dfrac { ( -50 – -25 ) } { |-25| } \times 100 \ )
\ ( = \dfrac { -25 } { 25 } \times 100 \ )
\ ( = -1 \times 100 = -100\ % \ ; \text { variety } \ )

Saying a -100 % change is equivalent to stating a 100 % decrease .

## References

Wikipedia contributors. “ percentage dispute : percentage change “ Wikipedia, The detached Encyclopedia. Wikipedia, The Free Encyclopedia, final visited 18 Feb. 2011 .

source : https://thaitrungkien.com
Category : Tutorial