# Solving Percentage Word Problems

Before I teach finding part, whole, and percent, students have already practiced and been tested on proportional relationships and unit rates.

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You can see tips on how to teach inequalities, proportional reasoning, ratios, and fractions/decimals/percents. What other middle school math concepts would you like for us to write about?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...To solve problems with percent we use the percent proportion shown in "Proportions and percent".In the above example, I first had to figure out what the actual tax was.Many percentage problems are really "two-part-ers" like this: they involve some kind of increase or decrease relative to some original value.We begin by subtracting the smaller number (the old value) from the greater number (the new value) to find the amount of change.$0-150=90$$Then we find out how many percent this change corresponds to when compared to the original number of students$$a=r\cdot b$$=r\cdot 150$$ $$\frac=r$$$[[

You can see tips on how to teach inequalities, proportional reasoning, ratios, and fractions/decimals/percents. What other middle school math concepts would you like for us to write about?

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...

To solve problems with percent we use the percent proportion shown in "Proportions and percent".

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

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

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You can see tips on how to teach inequalities, proportional reasoning, ratios, and fractions/decimals/percents. What other middle school math concepts would you like for us to write about?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...To solve problems with percent we use the percent proportion shown in "Proportions and percent".In the above example, I first had to figure out what the actual tax was.Many percentage problems are really "two-part-ers" like this: they involve some kind of increase or decrease relative to some original value.We begin by subtracting the smaller number (the old value) from the greater number (the new value) to find the amount of change.$$240-150=90$$ Then we find out how many percent this change corresponds to when compared to the original number of students $$a=r\cdot b$$ $$90=r\cdot 150$$ $$\frac=r$$ $$0.6=r= 60\%$$ We begin by finding the ratio between the old value (the original value) and the new value $$percent\:of\:change=\frac=\frac=1.6$$ As you might remember 100% = 1.Example 47% of the students in a class of 34 students has glasses or contacts.How many students in the class have either glasses or contacts? Fraction into Percentage Percentage into Fraction Percentage into Ratio Ratio into Percentage Percentage into Decimal Decimal into Percentage Percentage of the given Quantity How much Percentage One Quantity is of Another? Assuming that no student failed; find the number of students who just passed.

]].6=r= 60\%$$We begin by finding the ratio between the old value (the original value) and the new value$$percent\:of\:change=\frac=\frac=1.6 As you might remember 100% = 1.Example 47% of the students in a class of 34 students has glasses or contacts.How many students in the class have either glasses or contacts? Fraction into Percentage Percentage into Fraction Percentage into Ratio Ratio into Percentage Percentage into Decimal Decimal into Percentage Percentage of the given Quantity How much Percentage One Quantity is of Another? Assuming that no student failed; find the number of students who just passed.

## Comments Solving Percentage Word Problems

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