Percent of change

Learning Objectives Calculate the percent of change between two values. Differentiate between and calculate percent increase and percent decrease. Use the percent of change formula to find a new amount given an original amount and a percentage. Algebraically solve for the original amount given a new amount and a percent of change. Solve multi-step problems involving sequential percent changes (e.g., markup then discount). Apply the concept of percent of change to solve real-world word problems involving taxes, tips, and population changes. Your favorite YouTuber's subscribers jumped from 10,000 to 15,000 in a month! What's the percent increase? Let's find out! 📈 Percent of change is a powerful mathematical tool used to quantify the difference between two val...

TermDefinitionExample Percent of ChangeA measure of how much a quantity has changed, expressed as a percentage of the original quantity.If a price goes from $50 to $60, the amount of change is $10. The percent of change is ($10 / $50) * 100% = 20%. Percent IncreaseA percent of change that occurs when the new value is greater than the original value.A city's population growing from 500,000 to 525,000 is a 5% increase. Percent DecreaseA percent of change that occurs when the new value is less than the original value.A car's value depreciating from $20,000 to $18,000 is a 10% decrease. Original AmountThe starting value or the quantity before any change has occurred. This is always the denominator in the percent of change formula.If a plant was 10 cm tall last week and is 12 cm tall...

The Percent of Change Formula \text{Percent of Change} = \frac{|\text{New Amount} - \text{Original Amount}|}{\text{Original Amount}} \times 100\% This is the fundamental formula. Use it when you know the original and new amounts and need to find the percentage. The absolute value ensures the result is positive; you then determine if it's an increase or decrease based on the context. Finding the New Amount (Increase) \text{New Amount} = \text{Original Amount} \times (1 + \frac{\text{Percent Increase}}{100}) Use this formula to find the resulting value after a percent increase. The '1' represents 100% of the original amount, and the fraction adds the increase. Finding the New Amount (Decrease) \text{New Amount} = \text{Original Amount} \times (1 - \frac{\t...