76.18 is what percent of 570 - 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 570 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 570, so we can write it down as 100%=570.
4. We know, that x% equals 76.18 of the output value, so we can write it down as x%=76.18.
5. Now we have two simple equations:
1) 100%=570
2) x%=76.18
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%=570/76.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.18 is what percent of 570

100%/x%=570/76.18
(100/x)*x=(570/76.18)*x       - we multiply both sides of the equation by x
100=7.4822788133368*x       - we divide both sides of the equation by (7.4822788133368) to get x
100/7.4822788133368=x
13.364912280702=x
x=13.364912280702

now we have:
76.18 is 13.364912280702% of 570