57 is what percent of 1676 - 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 1676 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 1676, so we can write it down as 100%=1676.
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%=1676
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%=1676/57
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 1676

100%/x%=1676/57
(100/x)*x=(1676/57)*x       - we multiply both sides of the equation by x
100=29.40350877193*x       - we divide both sides of the equation by (29.40350877193) to get x
100/29.40350877193=x
3.4009546539379=x
x=3.4009546539379

now we have:
57 is 3.4009546539379% of 1676