67.87 is what percent of 102.87 - 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 102.87 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 102.87, so we can write it down as 100%=102.87.
4. We know, that x% equals 67.87 of the output value, so we can write it down as x%=67.87.
5. Now we have two simple equations:
1) 100%=102.87
2) x%=67.87
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%=102.87/67.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.87 is what percent of 102.87

100%/x%=102.87/67.87
(100/x)*x=(102.87/67.87)*x       - we multiply both sides of the equation by x
100=1.5156917636658*x       - we divide both sides of the equation by (1.5156917636658) to get x
100/1.5156917636658=x
65.976475162827=x
x=65.976475162827

now we have:
67.87 is 65.976475162827% of 102.87