57 is what percent of 2874 - 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 2874 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 2874, so we can write it down as 100%=2874.
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%=2874
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%=2874/57
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 2874

100%/x%=2874/57
(100/x)*x=(2874/57)*x       - we multiply both sides of the equation by x
100=50.421052631579*x       - we divide both sides of the equation by (50.421052631579) to get x
100/50.421052631579=x
1.9832985386221=x
x=1.9832985386221

now we have:
57 is 1.9832985386221% of 2874