57 is what percent of 2032 - 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 2032 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 2032, so we can write it down as 100%=2032.
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%=2032
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%=2032/57
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 2032

100%/x%=2032/57
(100/x)*x=(2032/57)*x       - we multiply both sides of the equation by x
100=35.649122807018*x       - we divide both sides of the equation by (35.649122807018) to get x
100/35.649122807018=x
2.8051181102362=x
x=2.8051181102362

now we have:
57 is 2.8051181102362% of 2032