593.25 is what percent of 4775 - 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 4775 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 4775, so we can write it down as 100%=4775.
4. We know, that x% equals 593.25 of the output value, so we can write it down as x%=593.25.
5. Now we have two simple equations:
1) 100%=4775
2) x%=593.25
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%=4775/593.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 593.25 is what percent of 4775

100%/x%=4775/593.25
(100/x)*x=(4775/593.25)*x       - we multiply both sides of the equation by x
100=8.0488832701222*x       - we divide both sides of the equation by (8.0488832701222) to get x
100/8.0488832701222=x
12.424083769634=x
x=12.424083769634

now we have:
593.25 is 12.424083769634% of 4775