Solve percent equations

Learning Objectives Translate verbal percent problems into algebraic equations. Solve for an unknown part when the percent and whole are given. Solve for an unknown whole when the percent and part are given. Solve for an unknown percent when the part and whole are given. Apply the percent equation to solve multi-step real-world problems involving discounts, taxes, and commissions. Calculate the percent of change (increase or decrease) between two values. A new video game is 20% off its original $70 price. How do you calculate the final cost in just a few seconds? 🎮 This tutorial will teach you how to translate any percent problem into a simple algebraic equation and solve for the unknown value. Mastering this skill is crucial not only for algebra but also for making smart...

TermDefinitionExample PercentA ratio representing a fraction of 100. The word 'percent' literally means 'per hundred'.25% is equivalent to the fraction 25/100 or the decimal 0.25. Base (The Whole)The total quantity or original amount that represents 100%. In a word problem, it often follows the word 'of'.In the phrase '40% of 200', the base is 200. Part (The Amount)A portion of the base. In a word problem, it is often associated with the word 'is'.In the statement '80 is 40% of 200', the part is 80. Percent EquationAn algebraic equation that models the relationship between the part, the percent, and the base.The statement 'What is 10% of 50?' can be modeled by the equation x = 0.10 * 50. Percent of ChangeA measure of ho...

The Percent Equation Part = Percent \times Whole This is the fundamental formula used to solve most percent problems. To use it, you must first convert the percent into its decimal form by dividing by 100. The Percent Proportion \frac{Part}{Whole} = \frac{Percent}{100} An alternative method that uses proportions. This method is useful because you don't need to convert the percent to a decimal; you use the number directly. Let 'a' be the part, 'b' be the whole, and 'p' be the percent. Percent of Change Formula Percent\ of\ Change = \frac{New\ Value - Original\ Value}{Original\ Value} \times 100 Use this formula to find the percent increase (if the result is positive) or percent decrease (if the result is negative) between an original...