What is 68 percent of 55.2 - 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 55.2 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 55.2 is 100%, so we can write it down as 55.2=100%.
4. We know, that x is 68% of the output value, so we can write it down as x=68%.
5. Now we have two simple equations:
1) 55.2=100%
2) x=68%
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:
55.2/x=100%/68%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 68% of 55.2

55.2/x=100/68
(55.2/x)*x=(100/68)*x       - we multiply both sides of the equation by x
55.2=1.4705882352941*x       - we divide both sides of the equation by (1.4705882352941) to get x
55.2/1.4705882352941=x
37.536=x
x=37.536

now we have:
68% of 55.2=37.536