If I am paid 65 % of "A" and only given the amount paid (the 65% number), how can I figure out what the initial amount was?

Question

anonymous · Answer

You can cancell an operation with its opposite so if you have x being paid and you get paid 0.65(65%) of it.
$$x \times 0.65$$
You can cancel it by
$$x \times 0.65 \over 0.65$$
and get the original value.

Please remember that you must do the same operation to both sides of an equation.

anonymous · Answer

To cancel it, then, by:      a x .65/.65, how am I getting "a"?  because the .65's could cancel out, leaving me with  "a" again.  That's the number I need.

So say I"m paid $56.42 (which is .65 of the total), how do I figure out what the total was?

anonymous · Answer

$$0.65x = 56.42$$
$${0.65x \over 0.65} = {56.42 \over 0.65}$$
$$x = 86.8$$

anonymous · Answer

Thanks.