What is 8.625 percent of 45.9 - 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 45.9 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 45.9 is 100%, so we can write it down as 45.9=100%.
4. We know, that x is 8.625% of the output value, so we can write it down as x=8.625%.
5. Now we have two simple equations:
1) 45.9=100%
2) x=8.625%
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:
45.9/x=100%/8.625%
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 8.625% of 45.9

45.9/x=100/8.625
(45.9/x)*x=(100/8.625)*x       - we multiply both sides of the equation by x
45.9=11.594202898551*x       - we divide both sides of the equation by (11.594202898551) to get x
45.9/11.594202898551=x
3.958875=x
x=3.958875

now we have:
8.625% of 45.9=3.958875