67.16 is what percent of 171.77 - 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 171.77 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 171.77, so we can write it down as 100%=171.77.
4. We know, that x% equals 67.16 of the output value, so we can write it down as x%=67.16.
5. Now we have two simple equations:
1) 100%=171.77
2) x%=67.16
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%=171.77/67.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.16 is what percent of 171.77

100%/x%=171.77/67.16
(100/x)*x=(171.77/67.16)*x       - we multiply both sides of the equation by x
100=2.5576235854675*x       - we divide both sides of the equation by (2.5576235854675) to get x
100/2.5576235854675=x
39.098794900157=x
x=39.098794900157

now we have:
67.16 is 39.098794900157% of 171.77