576.97 is what percent of 7492.53 - 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 7492.53 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 7492.53, so we can write it down as 100%=7492.53.
4. We know, that x% equals 576.97 of the output value, so we can write it down as x%=576.97.
5. Now we have two simple equations:
1) 100%=7492.53
2) x%=576.97
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%=7492.53/576.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 576.97 is what percent of 7492.53

100%/x%=7492.53/576.97
(100/x)*x=(7492.53/576.97)*x       - we multiply both sides of the equation by x
100=12.985995805674*x       - we divide both sides of the equation by (12.985995805674) to get x
100/12.985995805674=x
7.7006031340549=x
x=7.7006031340549

now we have:
576.97 is 7.7006031340549% of 7492.53