496.2 is what percent of 523 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 523 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 523, so we can write it down as 100%=523.
4. We know, that x% equals 496.2 of the output value, so we can write it down as x%=496.2.
5. Now we have two simple equations:
1) 100%=523
2) x%=496.2
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=523/496.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 496.2 is what percent of 523

100%/x%=523/496.2
(100/x)*x=(523/496.2)*x       - we multiply both sides of the equation by x
100=1.0540104796453*x       - we divide both sides of the equation by (1.0540104796453) to get x
100/1.0540104796453=x
94.875717017208=x
x=94.875717017208

now we have:
496.2 is 94.875717017208% of 523