# Math Help - [SOLVED] What's the original value of this percentage

1. ## [SOLVED] What's the original value of this percentage

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.

2. Originally Posted by kps_uk
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: $\frac {65}{100}x = 100$

Now solve for $x$

3. Originally Posted by kps_uk
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.

In general,

$x$% of $y = z$

( $x$% = $x$ per cent = $x$ per $100$ = $\frac{x}{100}$)

$\frac{x}{100} * y = z$

$y = z*\frac{100}{x}$

Hope this helps

Mahurshi Akilla