57 is what percent of 10706 - 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 10706 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 10706, so we can write it down as 100%=10706.
4. We know, that x% equals 57 of the output value, so we can write it down as x%=57.
5. Now we have two simple equations:
1) 100%=10706
2) x%=57
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%=10706/57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57 is what percent of 10706

100%/x%=10706/57
(100/x)*x=(10706/57)*x       - we multiply both sides of the equation by x
100=187.82456140351*x       - we divide both sides of the equation by (187.82456140351) to get x
100/187.82456140351=x
0.53241173173921=x
x=0.53241173173921

now we have:
57 is 0.53241173173921% of 10706