What is 18.2 percent of 49.9 - 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 49.9 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 49.9 is 100%, so we can write it down as 49.9=100%.
4. We know, that x is 18.2% of the output value, so we can write it down as x=18.2%.
5. Now we have two simple equations:
1) 49.9=100%
2) x=18.2%
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:
49.9/x=100%/18.2%
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 18.2% of 49.9

49.9/x=100/18.2
(49.9/x)*x=(100/18.2)*x       - we multiply both sides of the equation by x
49.9=5.4945054945055*x       - we divide both sides of the equation by (5.4945054945055) to get x
49.9/5.4945054945055=x
9.0818=x
x=9.0818

now we have:
18.2% of 49.9=9.0818