What is 39.71 percent of 11.46 - 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 11.46 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 11.46 is 100%, so we can write it down as 11.46=100%.
4. We know, that x is 39.71% of the output value, so we can write it down as x=39.71%.
5. Now we have two simple equations:
1) 11.46=100%
2) x=39.71%
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:
11.46/x=100%/39.71%
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 39.71% of 11.46

11.46/x=100/39.71
(11.46/x)*x=(100/39.71)*x       - we multiply both sides of the equation by x
11.46=2.5182573659028*x       - we divide both sides of the equation by (2.5182573659028) to get x
11.46/2.5182573659028=x
4.550766=x
x=4.550766

now we have:
39.71% of 11.46=4.550766