# Solving Word Problems With Percentages

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.

She worked as a registered nurse in the critical care area of a local community hospital and, at this time, she was committed to become a nursing educator.

She got her bachelor’s of science in nursing with Excelsior College, a part of the New York State University and immediately upon graduation she began graduate school at Adelphi University on Long Island, New York.

." If any two of the variables are given, you can use algebra to find out the missing one. In each one, the unknown is in a different position.

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

$$\frac=\frac$$ $$\frac\cdot =\frac\cdot b$$ $$a=\frac\cdot b$$ x/100 is called the rate.

$$a=r\cdot b\Rightarrow Percent=Rate\cdot Base$$ Where the base is the original value and the percentage is the new value.

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?