What is 45.92 percent of 10.36 - 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 10.36 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 10.36 is 100%, so we can write it down as 10.36=100%.
4. We know, that x is 45.92% of the output value, so we can write it down as x=45.92%.
5. Now we have two simple equations:
1) 10.36=100%
2) x=45.92%
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:
10.36/x=100%/45.92%
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 45.92% of 10.36

10.36/x=100/45.92
(10.36/x)*x=(100/45.92)*x       - we multiply both sides of the equation by x
10.36=2.1777003484321*x       - we divide both sides of the equation by (2.1777003484321) to get x
10.36/2.1777003484321=x
4.757312=x
x=4.757312

now we have:
45.92% of 10.36=4.757312