What is 4.25 percent of 11.49 - 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 11.49 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 11.49 is 100%, so we can write it down as 11.49=100%.
4. We know, that x is 4.25% of the output value, so we can write it down as x=4.25%.
5. Now we have two simple equations:
1) 11.49=100%
2) x=4.25%
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:
11.49/x=100%/4.25%
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 4.25% of 11.49

11.49/x=100/4.25
(11.49/x)*x=(100/4.25)*x       - we multiply both sides of the equation by x
11.49=23.529411764706*x       - we divide both sides of the equation by (23.529411764706) to get x
11.49/23.529411764706=x
0.488325=x
x=0.488325

now we have:
4.25% of 11.49=0.488325