58.13 is what percent of 574.74 - 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 574.74 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 574.74, so we can write it down as 100%=574.74.
4. We know, that x% equals 58.13 of the output value, so we can write it down as x%=58.13.
5. Now we have two simple equations:
1) 100%=574.74
2) x%=58.13
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%=574.74/58.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.13 is what percent of 574.74

100%/x%=574.74/58.13
(100/x)*x=(574.74/58.13)*x       - we multiply both sides of the equation by x
100=9.8871494925168*x       - we divide both sides of the equation by (9.8871494925168) to get x
100/9.8871494925168=x
10.114138567004=x
x=10.114138567004

now we have:
58.13 is 10.114138567004% of 574.74