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# 15 1/2% of what is 19

I am trying to do this problem. It is a homework question. I looked in my book and found the formula for basic percent equations (P x B = A). Since this is a fraction  I am not sure how to proceed

### 4 Answers by Expert Tutors

Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
4.8 4.8 (13 lesson ratings) (13)
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use the formula percentage=rate X base, or p=r X b, where percentage is the IS number, base is the OF number, and rate is the PERCENT

19 = 15 1/2 % X base,  19 = 15.5 % X base,  19 = 0.155 X base,  divide both sides by 0.155 to get

19/0.155 = base,  base = 122.58 (rounded off) ,  the base is the unknown, the problem states " ... OF what

IS 19 "
George T. | George T.--"It's All About Math!"George T.--"It's All About Math!"
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Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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Thank you for the question.
First, in the equation, we do NOT want to work with %...
15.5%=0.155
Then...
0.155x=19
Finally...
x=19/0.155=122.58
I hope this helps!

Ryan S. | Mathematics and StatisticsMathematics and Statistics
4.8 4.8 (10 lesson ratings) (10)
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The easiest thing to do is to convert it to a decimal. 15 1/2% = 15.5% =.155

Using the equation from your book:

.155*B=19

B=19/.155=122.58 (Rounded to the nearest hundredth)