What is 38.625 percent of 100.625 - 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 100.625 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 100.625 is 100%, so we can write it down as 100.625=100%.
4. We know, that x is 38.625% of the output value, so we can write it down as x=38.625%.
5. Now we have two simple equations:
1) 100.625=100%
2) x=38.625%
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:
100.625/x=100%/38.625%
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 38.625% of 100.625

100.625/x=100/38.625
(100.625/x)*x=(100/38.625)*x       - we multiply both sides of the equation by x
100.625=2.588996763754*x       - we divide both sides of the equation by (2.588996763754) to get x
100.625/2.588996763754=x
38.86640625=x
x=38.86640625

now we have:
38.625% of 100.625=38.86640625