if p% of p is 36 then p is equal to

Question

please explain me in detail

Answer 1

When you see a number in front of a percent, don't forget what it means: 

 

23% means 23/100

 

5% means 5/100

 

p% means p/100            (whatever the heck p is)

 

 

If you want to find p% of p that is the same thing as finding p/100 of p.

 

The "of" means to multiply there. Just like if I told you to take 1/5 of 10, you'd tell me that it's 2. That is because 1/5 of 10 = (1/5)x10 = 10/5 = 2.

 

 

 

p% of p is the same thing as p/100 of p is the same thing as (p/100)xp is the same thing as (pxp)/100.

 

In the question they tell you that this is 36. That is,

 

(pxp)/100 = 36

 

which means that pxp = 3600.

 

To figure out what p is, ask yourself what you multiply by itself to get 3600. 

 

So p = 60. 

 

 

You could check yourself by going 60% of 60 is (60/100)(60) which is 36 - to be sure.

Answer 2

p% can be written as 

.01p just like 10% is (.01)(10) = .1

 

So .01p (p) = 36

.01p² = 36

p² = 3600

and p = 60

 

To check

 

60% of 60 = .6(60) = 36