# Percentage Problem Solving Examples

Once you translate the sentence into a percent equation, you know how to solve it.

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Many percentage problems are really "two-part-ers" like this: they involve some kind of increase or decrease relative to some original value.

Warning: Always figure the percentage of change relative to the Standardized Test Prep ACCUPLACER Math ACT Math ASVAB Math CBEST Math CHSPE Math CLEP Math COMPASS Math FTCE Math GED Math GMAT Math GRE Math MTEL Math NES Math PERT Math PRAXIS Math SAT Math TABE Math TEAS Math TSI Math more tests...

In any given problem, you plug your known values into this equation, and then you solve for whatever is left.

In the above example, I first had to figure out what the actual tax was.

Percent means “for every 100” or "out of 100." The (%) symbol as a quick way to write a fraction with a denominator of 100. Since percentages are often thought of as parts of a larger whole thing, there can be a tendency to divide instead of multiply when faced with a problem such as "find 35% of 80." As the example below shows, after converting the percent to a decimal, the next step is to multiply, not divide.

As an example, instead of saying "it rained 14 days out of every 100," we say "it rained 14% of the time." The formulas for calculating percentages or for converting from percentages are relatively simple. 2) The price of a

As an example, instead of saying "it rained 14 days out of every 100," we say "it rained 14% of the time." The formulas for calculating percentages or for converting from percentages are relatively simple. 2) The price of a \$1.50 candy bar is increased by 20%. An understanding of percent allows students to estimate to check whether their answer is reasonable.

We will solve percent equations by using the methods we used to solve equations with fractions or decimals.

In the past, you may have solved percent problems by setting them up as proportions.

If you can tutor your child at a time that is best suited to their learning then results will improve.

For some children this will be before supper, for others it might be later in the evening and for others it might even be before breakfast!

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As an example, instead of saying "it rained 14 days out of every 100," we say "it rained 14% of the time." The formulas for calculating percentages or for converting from percentages are relatively simple. 2) The price of a \$1.50 candy bar is increased by 20%. An understanding of percent allows students to estimate to check whether their answer is reasonable.We will solve percent equations by using the methods we used to solve equations with fractions or decimals.In the past, you may have solved percent problems by setting them up as proportions.If you can tutor your child at a time that is best suited to their learning then results will improve.For some children this will be before supper, for others it might be later in the evening and for others it might even be before breakfast!To find the percent increase, first we find the amount of increase, which is the difference between the new amount and the original amount.Then we find what percent the amount of increase is of the original amount.Be sure to ask yourself if your final answer makes sense—since many of the applications we'll solve involve everyday situations, you can rely on your own experience.Example 6.20: Dezohn and his girlfriend enjoyed a dinner at a restaurant, and the bill was \$68.50. If the tip will be 18% of the total bill, how much should the tip be?Solution Example 6.21: The label on Masao's breakfast cereal said that one serving of cereal provides 85 milligrams (mg) of potassium, which is 2% of the recommended daily amount.What is the total recommended daily amount of potassium?

.50 candy bar is increased by 20%. An understanding of percent allows students to estimate to check whether their answer is reasonable.We will solve percent equations by using the methods we used to solve equations with fractions or decimals.In the past, you may have solved percent problems by setting them up as proportions.If you can tutor your child at a time that is best suited to their learning then results will improve.For some children this will be before supper, for others it might be later in the evening and for others it might even be before breakfast!To find the percent increase, first we find the amount of increase, which is the difference between the new amount and the original amount.Then we find what percent the amount of increase is of the original amount.Be sure to ask yourself if your final answer makes sense—since many of the applications we'll solve involve everyday situations, you can rely on your own experience.Example 6.20: Dezohn and his girlfriend enjoyed a dinner at a restaurant, and the bill was .50. If the tip will be 18% of the total bill, how much should the tip be?Solution Example 6.21: The label on Masao's breakfast cereal said that one serving of cereal provides 85 milligrams (mg) of potassium, which is 2% of the recommended daily amount.What is the total recommended daily amount of potassium?

## Comments Percentage Problem Solving Examples

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