What is 11.7647058824 percent of 448 - 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 448 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 448 is 100%, so we can write it down as 448=100%.
4. We know, that x is 11.7647058824% of the output value, so we can write it down as x=11.7647058824%.
5. Now we have two simple equations:
1) 448=100%
2) x=11.7647058824%
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:
448/x=100%/11.7647058824%
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 11.7647058824% of 448

448/x=100/11.7647058824
(448/x)*x=(100/11.7647058824)*x       - we multiply both sides of the equation by x
448=8.499999999966*x       - we divide both sides of the equation by (8.499999999966) to get x
448/8.499999999966=x
52.705882353152=x
x=52.705882353152

now we have:
11.7647058824% of 448=52.705882353152