57 is what percent of 4196 - 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 4196 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 4196, so we can write it down as 100%=4196.
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%=4196
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%=4196/57
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 4196

100%/x%=4196/57
(100/x)*x=(4196/57)*x       - we multiply both sides of the equation by x
100=73.614035087719*x       - we divide both sides of the equation by (73.614035087719) to get x
100/73.614035087719=x
1.3584366062917=x
x=1.3584366062917

now we have:
57 is 1.3584366062917% of 4196