67.62 is what percent of 122.95 - 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 122.95 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 122.95, so we can write it down as 100%=122.95.
4. We know, that x% equals 67.62 of the output value, so we can write it down as x%=67.62.
5. Now we have two simple equations:
1) 100%=122.95
2) x%=67.62
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%=122.95/67.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.62 is what percent of 122.95

100%/x%=122.95/67.62
(100/x)*x=(122.95/67.62)*x       - we multiply both sides of the equation by x
100=1.8182490387459*x       - we divide both sides of the equation by (1.8182490387459) to get x
100/1.8182490387459=x
54.997966653111=x
x=54.997966653111

now we have:
67.62 is 54.997966653111% of 122.95