1165.78 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 1165.78 of the output value, so we can write it down as x%=1165.78.
5. Now we have two simple equations:
1) 100%=500
2) x%=1165.78
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%=500/1165.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1165.78 is what percent of 500

100%/x%=500/1165.78
(100/x)*x=(500/1165.78)*x       - we multiply both sides of the equation by x
100=0.42889739058828*x       - we divide both sides of the equation by (0.42889739058828) to get x
100/0.42889739058828=x
233.156=x
x=233.156

now we have:
1165.78 is 233.156% of 500