5/17/2023 0 Comments Multiplying percentages![]() ![]() What is the percent change from 2,100 to 1,890? What is the percent increase of Jon's salary if it went from $150 a month to $200 a month? What is the percent decrease of a $500 item on sale for $400? To find percent change (increase or decrease), use this formula: (which is the same as 15% of 30 is what number?) What number is 15% of 30? (In this type, simply multiplying the numbers is probably easier.) (which is the same as 20% of what number is 60?) (which is the same as what percent of 200 is 40?) The proportion method works for the three basic types of percent questions: In this particular problem, however, it can be observed quickly that, so solving mechanically as shown is not time effective. Whatever is left (comes next to the word is) goes on top, on one side of the proportion. Whatever comes immediately after the word of goes on the bottom of one side of the proportion. Whatever is next to the percent (%) is put over 100. Then solve the equation.Īnother simple method commonly used to solve any of the three types of percent problems is the proportion method (also called the is/of method).įirst set up a blank proportion and then fill in the empty spaces by using the following steps. Change percents to decimals or fractions, whichever you find easier. For what, substitute the letter x for is, substitute an equal sign (=) for of, substitute a multiplication sign (×). Simply turn the question word‐for‐word into an equation. You could also use the equation method as discussed previously. To use this method, simply take the number of percent, change it into a decimal or fraction, and divide that into the other number. You can also use the division method to find a number when a percent of it is known. Then solve the equation.Ĭhange each of the following into an equation and solve. Then change the answer to a percent.Īnother method to find what percent one number is of another is the equation method. To use this method, simply take the number after the of and divide it into the number next to the is. One method to find what percent one number is of another is the division method. Remember:The word of means multiply.įind the percents of the following numbers. To determine percent of a number, change the percent to a fraction or decimal (whichever is easier for you) and multiply. The following applications are the most common basic types. Percents can be used in many types of problems and situations.
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