What is 63.75 percent of 11.09 - 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 11.09 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 11.09 is 100%, so we can write it down as 11.09=100%.
4. We know, that x is 63.75% of the output value, so we can write it down as x=63.75%.
5. Now we have two simple equations:
1) 11.09=100%
2) x=63.75%
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:
11.09/x=100%/63.75%
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 63.75% of 11.09

11.09/x=100/63.75
(11.09/x)*x=(100/63.75)*x       - we multiply both sides of the equation by x
11.09=1.5686274509804*x       - we divide both sides of the equation by (1.5686274509804) to get x
11.09/1.5686274509804=x
7.069875=x
x=7.069875

now we have:
63.75% of 11.09=7.069875