362.63 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 362.63 of the output value, so we can write it down as x%=362.63.
5. Now we have two simple equations:
1) 100%=500
2) x%=362.63
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%=500/362.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 362.63 is what percent of 500

100%/x%=500/362.63
(100/x)*x=(500/362.63)*x       - we multiply both sides of the equation by x
100=1.3788158729283*x       - we divide both sides of the equation by (1.3788158729283) to get x
100/1.3788158729283=x
72.526=x
x=72.526

now we have:
362.63 is 72.526% of 500