Solving Word Problems With Percentages

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

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Some examples of percentages less than 100% that are less than 1 and less than the whole are: Percentages have equivalents in terms of a fraction, a decimal point number and as a ratio.

You may have noticed a pattern in the chart above suggesting how to convert among fractions, decimals and percentages.

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.

Since we have a percent of change that is bigger than 1 we know that we have an increase.

To find out how big of an increase we've got we subtract 1 from 1.6.The production of rice increased by 50% from 1995 to 1996.By what percentage should the production of rice be increased from 1996 to 1997, so that the production of rice in 1997 becomes six times that of 1995 ?RELATED TEAS NUMBERS & ALGEBRA CONTENT: Alene Burke RN, MSN is a nationally recognized nursing educator.She began her work career as an elementary school teacher in New York City and later attended Queensborough Community College for her associate degree in nursing.$$a=r\cdot b$$ $\%=0.47a$$ $$=0.47\cdot 34$$ $$a=15.98\approx 16$$ 16 of the students wear either glasses or contacts.We often get reports about how much something has increased or decreased as a percent of change.Example 4: Calculating Problems Involving Percentages When your weight goal is to lose 5% of your weight every 6 months, how much weight should you lose every 6 months when your weight is as follows: 5/100 x 65 kg OR 0.05 x 65 kg OR 5% : 100% = x : 65 kg 5/100 OR 1/20 x 65 kg = 3.25 kg OR 0.05 x 65 kg = 3.25 kg OR 5% : 100% = x : 65 kg 5/100 = x/65 x = 3.25 kg In this example, you should lose 3.25 kg every 6 months.Example 5: Calculating Problems Involving Percentages When your weight goal is to lose 5% of your weight every 6 months, how much weight should you lose every 6 months when your weight is as follows: 5/100 x 89 kg OR 0.05 x 89 kg OR 5% : 100% = x : 89 kg 5/100 OR 1/20 x 89 kg = 4.45 kg OR 0.05 x 89 kg = 4.45 kg OR 5% : 100% = x : 89 kg 5/100 = x/89 x = 4.45 kg In this example, you should lose 4.45 kg every 6 months.As previously discussed, dividing by 100 can be done simply by moving the decimal place two places to the left.Here are some examples: The conversion of percentages into ratios is done by placing the percentage number and then : (colon) and then 100.

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