57 is what percent of 4862 - 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 4862 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 4862, so we can write it down as 100%=4862.
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%=4862
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%=4862/57
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 4862

100%/x%=4862/57
(100/x)*x=(4862/57)*x       - we multiply both sides of the equation by x
100=85.298245614035*x       - we divide both sides of the equation by (85.298245614035) to get x
100/85.298245614035=x
1.17235705471=x
x=1.17235705471

now we have:
57 is 1.17235705471% of 4862