# Solving Word Problems With Percentages

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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.

A ratio is read as 12 is to 100 when you see 12 : 100. Here are some examples: Example 1: Calculating Problems Involving Percentages Your local grocery store is having a huge BOGO sale this week.

You will be purchasing 1 of each of these BOGO items this week and your store does NOT require that you take 2 to get the BOGO discount: Cereal (usual price is $5.39 per box) 50% of$5.39 1/2 x $5.39 OR 0.5 x$5.39 OR 50% : !

00% = x : $5.39 1/2 x$5.39 = $5.29/2 =$2.70 rounded off to the nearest penny OR 0.5 x $5.39 =$2.70 rounded off to the nearest penny OR 50% : !

00% = x : .39 50/100 = x / .39 x=.70 rounded off to the nearest penny In this example, you have paid .70 per box of cereal and you have also saved .69 per box of cereal.

The conversion of percentages into fractions is done by simply placing the percentage number over 100.

Regardless of whether or not the percentage number is less than or greater than 100, the denominator of the fraction is always 100 Here are some examples: The conversion of percentages into decimal numbers is done by moving the percentage number's decimal place 2 places to the left.

Percentages are a number with a % sign that represent numbers in comparison to 100.

As shown in the picture below, of all of the persons using a web browser to access Wikipedia, 20.03 %, or 20.03 people out of every hundred people, used Chrome and 19.26% of all of the persons using a web browser to access Wikipedia, 19.26%, or 19.26 people out of every hundred people, used Firefox, etc. Percentages less than 100% are less than 1 or the whole and percentages more than 100% are more than one or the whole; and percentages less than 1% are also possible.

## Comments Solving Word Problems With Percentages

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