15 1/2% of what is 19

Question

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

Answer 1

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 "

Answer 2

Hi Adams;

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!

 

 

Answer 3

See Vivian's and Ryan's answers

Answer 4

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)