57.5 is what percent of 571.3 - 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 571.3 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 571.3, so we can write it down as 100%=571.3.
4. We know, that x% equals 57.5 of the output value, so we can write it down as x%=57.5.
5. Now we have two simple equations:
1) 100%=571.3
2) x%=57.5
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%=571.3/57.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.5 is what percent of 571.3

100%/x%=571.3/57.5
(100/x)*x=(571.3/57.5)*x       - we multiply both sides of the equation by x
100=9.935652173913*x       - we divide both sides of the equation by (9.935652173913) to get x
100/9.935652173913=x
10.064764572029=x
x=10.064764572029

now we have:
57.5 is 10.064764572029% of 571.3