What is 11.798 percent of 41.798 - 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 41.798 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 41.798 is 100%, so we can write it down as 41.798=100%.
4. We know, that x is 11.798% of the output value, so we can write it down as x=11.798%.
5. Now we have two simple equations:
1) 41.798=100%
2) x=11.798%
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:
41.798/x=100%/11.798%
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 11.798% of 41.798

41.798/x=100/11.798
(41.798/x)*x=(100/11.798)*x       - we multiply both sides of the equation by x
41.798=8.4760128835396*x       - we divide both sides of the equation by (8.4760128835396) to get x
41.798/8.4760128835396=x
4.93132804=x
x=4.93132804

now we have:
11.798% of 41.798=4.93132804