57 is what percent of 68 - 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 68 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 68, so we can write it down as 100%=68.
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%=68
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%=68/57
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 68

100%/x%=68/57
(100/x)*x=(68/57)*x       - we multiply both sides of the equation by x
100=1.19298245614*x       - we divide both sides of the equation by (1.19298245614) to get x
100/1.19298245614=x
83.8235294118=x
x=83.8235294118

now we have:
57 is 83.8235294118% of 68