What is 7.13 percent of 63.8 - 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 63.8 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 63.8 is 100%, so we can write it down as 63.8=100%.
4. We know, that x is 7.13% of the output value, so we can write it down as x=7.13%.
5. Now we have two simple equations:
1) 63.8=100%
2) x=7.13%
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:
63.8/x=100%/7.13%
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 7.13% of 63.8

63.8/x=100/7.13
(63.8/x)*x=(100/7.13)*x       - we multiply both sides of the equation by x
63.8=14.025245441795*x       - we divide both sides of the equation by (14.025245441795) to get x
63.8/14.025245441795=x
4.54894=x
x=4.54894

now we have:
7.13% of 63.8=4.54894