57 is what percent of 701 - 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 701 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 701, so we can write it down as 100%=701.
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%=701
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%=701/57
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 701

100%/x%=701/57
(100/x)*x=(701/57)*x       - we multiply both sides of the equation by x
100=12.298245614035*x       - we divide both sides of the equation by (12.298245614035) to get x
100/12.298245614035=x
8.1312410841655=x
x=8.1312410841655

now we have:
57 is 8.1312410841655% of 701