# Percentage Problem Solving Questions

In the example of 5The amount is the number that relates to the percent. Once you have an equation, you can solve it and find the unknown value.To do this, think about the relationship between multiplication and division.You probably put the amount (18) over 100 in the proportion, rather than the percent (125).

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Look at the pairs of multiplication and division facts below, and look for a pattern in each row.

Percent problems can also be solved by writing a proportion.

Jeff wonders how much money the coupon will take off the original $220 price. In a percent problem, the base represents how much should be considered 100% (the whole); in exponents, the base is the value that is raised to a power when a number is written in exponential notation. Since the percent is the percent off, the amount will be the amount off of the price. 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$$=r\cdot 150$$ $$\frac=r$$ $[[ $$240-150=90$$ 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. Aaron had$ 2100 left after spending 30 % of the money he took for shopping. 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?

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

The percent of change tells us how much something has changed in comparison to the original number.

There are two different methods that we can use to find the percent of change.

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$$240-150=90$$ 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.Aaron had $2100 left after spending 30 % of the money he took for shopping. 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?To solve problems with percent we use the percent proportion shown in "Proportions and percent".The percent of change tells us how much something has changed in comparison to the original number.There are two different methods that we can use to find the percent of change.Now we will apply the concept of percentage to solve various real-life examples on percentage.1.In an election, candidate A got 75% of the total valid votes. So they are easier to compare than fractions, as they always have the same denominator, 100. The amount saved is always the same portion or fraction of the price, but a higher price means more money is taken off.Interest rates on a saving account work in the same way.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? ]].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.Aaron had$ 2100 left after spending 30 % of the money he took for shopping. 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?To solve problems with percent we use the percent proportion shown in "Proportions and percent".The percent of change tells us how much something has changed in comparison to the original number.There are two different methods that we can use to find the percent of change.Now we will apply the concept of percentage to solve various real-life examples on percentage.1.In an election, candidate A got 75% of the total valid votes. So they are easier to compare than fractions, as they always have the same denominator, 100. The amount saved is always the same portion or fraction of the price, but a higher price means more money is taken off.Interest rates on a saving account work in the same way.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?

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