67.88 is what percent of 407.2 - 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 407.2 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 407.2, so we can write it down as 100%=407.2.
4. We know, that x% equals 67.88 of the output value, so we can write it down as x%=67.88.
5. Now we have two simple equations:
1) 100%=407.2
2) x%=67.88
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%=407.2/67.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.88 is what percent of 407.2

100%/x%=407.2/67.88
(100/x)*x=(407.2/67.88)*x       - we multiply both sides of the equation by x
100=5.998821449617*x       - we divide both sides of the equation by (5.998821449617) to get x
100/5.998821449617=x
16.669941060904=x
x=16.669941060904

now we have:
67.88 is 16.669941060904% of 407.2