How To Solve Percentages Word Problems

While this is a simple process, you can make the process even simpler. If Cassie worked 82 percent of her shift on Wednesday and worked 100 percent of her other shifts, what percent of the week did she miss? Since 2003, Momi Awana's writing has been featured in "The Hawaii Independent," "Tradewinds" and "Eternal Portraits." She served as a communications specialist at the Hawaii State Legislature and currently teaches writing classes at her library.

Instead of finding 92 percent of 200, find 200 percent of 92 by doubling it: Cassie works from 7 a.m. Awana holds a Master of Arts in English from University of Hawaii, Mānoa.

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

We begin by subtracting the smaller number (the old value) from the greater number (the new value) to find the amount of change.

$$a=r\cdot b\Rightarrow Percent=Rate\cdot Base$$ 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?

$$a=r\cdot b$$ $\%=0.47a$$ $$=0.47\cdot 34$$ $$a=15.98\approx 16$$ 16 of the students wear either glasses or contacts.

You will be given two of the values, or at least enough information that you can figure two of them out.

Then you'll need to pick a variable for the value you don't have, write an equation, and solve for that variable.


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