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Submitted URL: http://www.calculatorsoup.com/calculators/algebra/percent-change-calculator.php
Effective URL: https://www.calculatorsoup.com/calculators/algebra/percent-change-calculator.php
Submission: On August 07 via manual from US — Scanned from DE
Effective URL: https://www.calculatorsoup.com/calculators/algebra/percent-change-calculator.php
Submission: On August 07 via manual from US — Scanned from DE
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You must Enable your JavaScript for All Features of CalculatorSoup.com to Operate Correctly! skip to calculator skip to main content Calculator Soup® Online Calculators Search Contact | Calculator Index Basic Calculator Calculators > Algebra > Percentage Change Calculator PERCENTAGE CHANGE CALCULATOR Percentage Change Calculator (V2−V1)|V1|×100=?(V2−V1)|V1|×100=? Change from V1 to V2 V1 = V2 = Answer: Get a Widget for this Calculator © Calculator Soup Share this Calculator & Page CALCULATOR USE The Percentage Change Calculator (% change calculator) quantifies the change from one number to another and expresses the change as an increase or decrease. This is a % change calculator. Going from 10 apples to 20 apples is a 100% increase (change) in the number of apples. This calculator is used when there is an “old” and “new” number or an “initial” and “final” value. A positive change is an increased amount of the percentage value while a negative change is a decreased amount of the percentage value. Use the percent change calculation when the order of the numbers does matter; you have starting and ending values or an "old number" and a "new number." When you are just comparing two numbers you may want to use the Percent Difference Calculator. Related calculations can be done with Percentage Calculator and conversions can be solved with Decimal to Percent, Percent to Decimal, Fraction to Percent, or Percent to Fraction. PERCENTAGE CHANGE FORMULA Percentage change equals the change in value divided by the absolute value of the original value, multiplied by 100. Percentage Change=ΔV|V1|×100Percentage Change=ΔV|V1|×100 =(V2−V1)|V1|×100=(V2−V1)|V1|×100 HOW TO CALCULATE PERCENTAGE CHANGE: EXAMPLE 1 What is the percentage change, as an increase or decrease, to go from 3.50 to 2.625? Let V1 = 3.50 and V2 = 2.625 and plug numbers into the percentage change formula (V2−V1)|V1|×100(V2−V1)|V1|×100 =(2.625−3.50)|3.50|×100=(2.625−3.50)|3.50|×100 =−0.8753.50×100=−0.8753.50×100 =−0.25×100=−25%change=−0.25×100=−25%change If you have a -25% change it's the same as saying you have a 25% decrease. Note that if you let V1 = 2.625 and V2 = 3.50 you 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. HOW TO CALCULATE PERCENTAGE CHANGE: EXAMPLE 2 Let's look at a change that includes negative numbers, where taking the absolute value of V1 in the denominator makes a difference. What is the percentage change, as an increase or decrease, to go from -25 to 25? Let V1 = -25 and V2 = 25 and plug numbers into the percent change formula: =(25−−25)|−25|×100=(25−−25)|−25|×100 =5025×100=5025×100 =2×100=200%change=2×100=200%change If you have a 200% change it's the same as saying you have a 200% increase. HOW TO CALCULATE PERCENTAGE CHANGE: EXAMPLE 3 Let's look at another change that includes negative numbers, where taking the absolute value of V1 in the denominator is important. What is the percent change, as an increase or decrease, to go from -25 to -50? Let V1 = -25 and V2 = -50 and plug numbers into the formula: =(−50−−25)|−25|×100=(−50−−25)|−25|×100 =−2525×100=−2525×100 =−1×100=−100%change=−1×100=−100%change If you have a -100% change it's the same as saying you have a 100% decrease. REFERENCES Wikipedia contributors. "Percent difference: percent change" Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, last visited 18 Feb. 2011. Cite this content, page or calculator as: Furey, Edward "Percentage Change Calculator" at https://www.calculatorsoup.com/calculators/algebra/percent-change-calculator.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators Last updated: April 18, 2019 Follow CalculatorSoup: Help | Requests & Suggestions | Contact Us Legal Information & Terms of Use | Privacy Policy Online Calculator Categories | Calculator List | Converter List | Site Map © 2006 - 2023 CalculatorSoup® All rights reserved.