What is 18.954248366013 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 18.954248366013% of the output value, so we can write it down as x=18.954248366013%.
5. Now we have two simple equations:
1) 45.9=100%
2) x=18.954248366013%
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%/18.954248366013%
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 18.954248366013% of 45.9

45.9/x=100/18.954248366013
(45.9/x)*x=(100/18.954248366013)*x       - we multiply both sides of the equation by x
45.9=5.2758620689655*x       - we divide both sides of the equation by (5.2758620689655) to get x
45.9/5.2758620689655=x
8.7=x
x=8.7

now we have:
18.954248366013% of 45.9=8.7