57 is what percent of 1201 - 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 1201 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 1201, so we can write it down as 100%=1201.
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%=1201
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%=1201/57
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 1201

100%/x%=1201/57
(100/x)*x=(1201/57)*x       - we multiply both sides of the equation by x
100=21.070175438596*x       - we divide both sides of the equation by (21.070175438596) to get x
100/21.070175438596=x
4.7460449625312=x
x=4.7460449625312

now we have:
57 is 4.7460449625312% of 1201