5.7 is what percent of 318.9 - 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 318.9 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 318.9, so we can write it down as 100%=318.9.
4. We know, that x% equals 5.7 of the output value, so we can write it down as x%=5.7.
5. Now we have two simple equations:
1) 100%=318.9
2) x%=5.7
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%=318.9/5.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.7 is what percent of 318.9

100%/x%=318.9/5.7
(100/x)*x=(318.9/5.7)*x       - we multiply both sides of the equation by x
100=55.947368421053*x       - we divide both sides of the equation by (55.947368421053) to get x
100/55.947368421053=x
1.7873941674506=x
x=1.7873941674506

now we have:
5.7 is 1.7873941674506% of 318.9