Percent of change

Learning Objectives Calculate the percent of change between two given values. Identify whether a change is a percent increase or a percent decrease. Solve multi-step word problems involving percent of change. Use the percent of change formula to find a new amount after a change. Use the percent of change formula to find the original amount before a change. Explain the importance of the 'original amount' in the percent of change calculation. Have you ever seen an item go on sale and wondered how much you're *really* saving? 🤑 Let's find out exactly how to calculate that! This tutorial will teach you how to measure and describe change using percentages. You'll learn the formula for percent of change and how to apply it to real-world situations, which...

TermDefinitionExample Percent of ChangeA ratio that compares the change in a quantity to the original amount, expressed as a percentage.If a video game price goes from $50 to $60, the percent of change is 20%. Original AmountThe starting value or the quantity before any change has occurred. This is the most important number for our calculations.If a plant was 10 cm tall last month and is 15 cm tall now, the original amount is 10 cm. New AmountThe final value or the quantity after a change has occurred.If a plant was 10 cm tall last month and is 15 cm tall now, the new amount is 15 cm. Amount of ChangeThe absolute difference between the new amount and the original amount.If a price changes from $40 to $30, the amount of change is $10. Percent IncreaseA percent of change where the new amoun...

The Percent of Change Formula \text{Percent of Change} = \frac{\text{New Amount} - \text{Original Amount}}{\text{Original Amount}} \times 100 This is the primary formula. A positive result means a percent increase, and a negative result means a percent decrease. We often use the absolute value of the numerator and determine increase/decrease by comparing the new and original values. Simplified Percent of Change Formula \text{Percent of Change} = \frac{\text{Amount of Change}}{\text{Original Amount}} \times 100 This is another way to write the same formula. First, find the difference between the new and original amounts, then divide by the original amount and multiply by 100.