57 is what percent of 2676 - 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 2676 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 2676, so we can write it down as 100%=2676.
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%=2676
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%=2676/57
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 2676

100%/x%=2676/57
(100/x)*x=(2676/57)*x       - we multiply both sides of the equation by x
100=46.947368421053*x       - we divide both sides of the equation by (46.947368421053) to get x
100/46.947368421053=x
2.1300448430493=x
x=2.1300448430493

now we have:
57 is 2.1300448430493% of 2676