What is 45.78 percent of 55.63 - 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 55.63 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 55.63 is 100%, so we can write it down as 55.63=100%.
4. We know, that x is 45.78% of the output value, so we can write it down as x=45.78%.
5. Now we have two simple equations:
1) 55.63=100%
2) x=45.78%
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:
55.63/x=100%/45.78%
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 45.78% of 55.63

55.63/x=100/45.78
(55.63/x)*x=(100/45.78)*x       - we multiply both sides of the equation by x
55.63=2.1843599825251*x       - we divide both sides of the equation by (2.1843599825251) to get x
55.63/2.1843599825251=x
25.467414=x
x=25.467414

now we have:
45.78% of 55.63=25.467414