Hi guys,
I need to find the original value of X for a particular percentage of Y.
Example
If 65% of X = 100(being Y), what is X (for this example it's apx 155) but I need exact numbers.
Cheers.
first we need some vocabulary (vocabulary in math ?! yes, vocabulary in math).
"Percent" is a fancy word for "out of 100" or "divided by 100." so 65% means 65/100
in math, "of" means "multiply." so 65% of means "65/100 x"
so now, rewrite the equation:
we have: $\displaystyle \frac {65}{100}x = 100$
Now solve for $\displaystyle x$
In general,
$\displaystyle x $% of $\displaystyle y = z$
($\displaystyle x $% = $\displaystyle x$ per cent = $\displaystyle x$ per $\displaystyle 100$ = $\displaystyle \frac{x}{100}$)
$\displaystyle \frac{x}{100} * y = z $
$\displaystyle y = z*\frac{100}{x}$
Hope this helps
Mahurshi Akilla