What is 12.575 percent of 44.649 - 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 44.649 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 44.649 is 100%, so we can write it down as 44.649=100%.
4. We know, that x is 12.575% of the output value, so we can write it down as x=12.575%.
5. Now we have two simple equations:
1) 44.649=100%
2) x=12.575%
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:
44.649/x=100%/12.575%
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 12.575% of 44.649

44.649/x=100/12.575
(44.649/x)*x=(100/12.575)*x       - we multiply both sides of the equation by x
44.649=7.9522862823062*x       - we divide both sides of the equation by (7.9522862823062) to get x
44.649/7.9522862823062=x
5.61461175=x
x=5.61461175

now we have:
12.575% of 44.649=5.61461175