What is 8.8 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 8.8% of the output value, so we can write it down as x=8.8%.
5. Now we have two simple equations:
1) 45.9=100%
2) x=8.8%
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%/8.8%
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 8.8% of 45.9

45.9/x=100/8.8
(45.9/x)*x=(100/8.8)*x       - we multiply both sides of the equation by x
45.9=11.363636363636*x       - we divide both sides of the equation by (11.363636363636) to get x
45.9/11.363636363636=x
4.0392=x
x=4.0392

now we have:
8.8% of 45.9=4.0392