506.78 is what percent of 575.18 - 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 575.18 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 575.18, so we can write it down as 100%=575.18.
4. We know, that x% equals 506.78 of the output value, so we can write it down as x%=506.78.
5. Now we have two simple equations:
1) 100%=575.18
2) x%=506.78
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%=575.18/506.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 506.78 is what percent of 575.18

100%/x%=575.18/506.78
(100/x)*x=(575.18/506.78)*x       - we multiply both sides of the equation by x
100=1.1349698093847*x       - we divide both sides of the equation by (1.1349698093847) to get x
100/1.1349698093847=x
88.108070517056=x
x=88.108070517056

now we have:
506.78 is 88.108070517056% of 575.18