57.84 is what percent of 315.76 - 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 315.76 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 315.76, so we can write it down as 100%=315.76.
4. We know, that x% equals 57.84 of the output value, so we can write it down as x%=57.84.
5. Now we have two simple equations:
1) 100%=315.76
2) x%=57.84
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%=315.76/57.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.84 is what percent of 315.76

100%/x%=315.76/57.84
(100/x)*x=(315.76/57.84)*x       - we multiply both sides of the equation by x
100=5.4591977869986*x       - we divide both sides of the equation by (5.4591977869986) to get x
100/5.4591977869986=x
18.317709652901=x
x=18.317709652901

now we have:
57.84 is 18.317709652901% of 315.76