67.83 is what percent of 95.2 - 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 95.2 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 95.2, so we can write it down as 100%=95.2.
4. We know, that x% equals 67.83 of the output value, so we can write it down as x%=67.83.
5. Now we have two simple equations:
1) 100%=95.2
2) x%=67.83
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%=95.2/67.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.83 is what percent of 95.2

100%/x%=95.2/67.83
(100/x)*x=(95.2/67.83)*x       - we multiply both sides of the equation by x
100=1.4035087719298*x       - we divide both sides of the equation by (1.4035087719298) to get x
100/1.4035087719298=x
71.25=x
x=71.25

now we have:
67.83 is 71.25% of 95.2