68.12 is what percent of 254.86 - 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 254.86 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 254.86, so we can write it down as 100%=254.86.
4. We know, that x% equals 68.12 of the output value, so we can write it down as x%=68.12.
5. Now we have two simple equations:
1) 100%=254.86
2) x%=68.12
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%=254.86/68.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.12 is what percent of 254.86

100%/x%=254.86/68.12
(100/x)*x=(254.86/68.12)*x       - we multiply both sides of the equation by x
100=3.7413388138579*x       - we divide both sides of the equation by (3.7413388138579) to get x
100/3.7413388138579=x
26.728399905831=x
x=26.728399905831

now we have:
68.12 is 26.728399905831% of 254.86