What is 46.8 percent of 12.636 - 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 12.636 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 12.636 is 100%, so we can write it down as 12.636=100%.
4. We know, that x is 46.8% of the output value, so we can write it down as x=46.8%.
5. Now we have two simple equations:
1) 12.636=100%
2) x=46.8%
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:
12.636/x=100%/46.8%
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 46.8% of 12.636

12.636/x=100/46.8
(12.636/x)*x=(100/46.8)*x       - we multiply both sides of the equation by x
12.636=2.1367521367521*x       - we divide both sides of the equation by (2.1367521367521) to get x
12.636/2.1367521367521=x
5.913648=x
x=5.913648

now we have:
46.8% of 12.636=5.913648