57.46 is what percent of 1177 - 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 1177 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 1177, so we can write it down as 100%=1177.
4. We know, that x% equals 57.46 of the output value, so we can write it down as x%=57.46.
5. Now we have two simple equations:
1) 100%=1177
2) x%=57.46
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%=1177/57.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.46 is what percent of 1177

100%/x%=1177/57.46
(100/x)*x=(1177/57.46)*x       - we multiply both sides of the equation by x
100=20.483814827706*x       - we divide both sides of the equation by (20.483814827706) to get x
100/20.483814827706=x
4.8819031435854=x
x=4.8819031435854

now we have:
57.46 is 4.8819031435854% of 1177