What is 41.678 percent of 11.876 - 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 11.876 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 11.876 is 100%, so we can write it down as 11.876=100%.
4. We know, that x is 41.678% of the output value, so we can write it down as x=41.678%.
5. Now we have two simple equations:
1) 11.876=100%
2) x=41.678%
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:
11.876/x=100%/41.678%
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 41.678% of 11.876

11.876/x=100/41.678
(11.876/x)*x=(100/41.678)*x       - we multiply both sides of the equation by x
11.876=2.3993473775133*x       - we divide both sides of the equation by (2.3993473775133) to get x
11.876/2.3993473775133=x
4.94967928=x
x=4.94967928

now we have:
41.678% of 11.876=4.94967928