HOW TO SOLVE PERCENT PROPORTION PROBLEMS

HOW TO SOLVE PERCENT PROPORTION PROBLEMS

Simple tips:

When you see these terms:

• "of" means multiply.
• "is" means equals.
• "What percent" means any letter you want to use as variable.
• "Percent" means 1/100.

      Percent proportion is just a ratio of a given any number to 100. Any number given should be divided by 100 to get its percent, or it's fraction. If, for example, we are asked the n% of m number, we simply do like n%*m (* means multiply). We want to convert n to decimal before applying the multiplication as mathematical rule.For instance, the 25% of 200 where n = 25% and m = 200 gives us 0.25*200=50. This follows that 40% of 500 is 0.4*500 gives us 200.

     If we are asked to know "What percent of a number is" , we should simply follow the simple tips provided above. As an example, "what percent of 200 is 75?" The term "of" here means multiply and any number say "n" with "is" as (=) symbol. So, n% x 200 = 75 is our mathematical set up. Therefore,  n% = (75/200)*100 = 0.375*100 = 37.5 would be the resulting output. 

More Illustrations:

Express each percent as a fraction or mixed number if applicable.

    

    

    

More examples:

Express each percent as a fraction or decimals if applicable.

, referring to the tip above, % means 1/100, so we divided 70 by 100.

, answer

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4.) What percent of 50 is 30?

Solution:

        

        

        

5.) 17 is what percent of 50?

Solution:

        

        

        

        , or by symmetric property,

        

6.) 22% of what number is 41?

Solution:

        

                   

7.) Find 10% of 86.

Solution:

       

       

8.) What number is 40% of 60?

Solution:   

       

       

9.) 25 is what percent of 125?   

Solution: 

       

      

                       

10.)  38% of 25 is what number? 
Solution:
      
      
                
                

Extra Exercises:

Express each percent as a fraction or mixed number in simplest form.

 

     What number is 24% of 18?

Show your answer on a "Post a comment box" found bellow this page.

      

Printable PDF worksheet with key